Boats And Streams: Quantitative Aptitude Practice And Solutions

Two boats A and B can each travel a certain distance downstream in 5 hours. If the speed of boat A is twice the speed of boat B, how long will it take boat B to travel the same distance downstream alone?
a) 10 hours
b) 15 hours
c) 20 hours
d) 25 hours

Solution: Since the speed of boat A is twice the speed of boat B, it means that boat A covers the distance in half the time taken by boat B. Therefore, boat B will take 10 hours to travel the same distance downstream alone. The correct answer is (a).

The speed of a boat in still water is 15 km/h. If it takes 3 hours to travel upstream and 2 hours to travel downstream, then what is the speed of the stream?
a) 5 km/h
b) 7 km/h
c) 9 km/h
d) 12 km/h

Solution: Let the speed of the stream be x km/h. The speed of the boat upstream is (15 – x) km/h, and the speed downstream is (15 + x) km/h. According to the given conditions, we can set up the equations:
Distance = Speed × Time
(15 – x) × 3 = (15 + x) × 2
Solving this equation, we get x = 5 km/h. The correct answer is (a).

A boat can travel a certain distance downstream in 3 hours and return the same distance upstream in 5 hours. What is the ratio of the speed of the boat in still water to the speed of the stream?
a) 3:2
b) 2:3
c) 4:5
d) 5:4

Solution: Let the speed of the boat in still water be x km/h and the speed of the stream be y km/h. According to the given conditions, we can set up the equations:
(x + y) × 3 = (x – y) × 5
Solving this equation, we get x:y = 3:2. The correct answer is (a).

A boat covers a certain distance downstream in 4 hours and returns the same distance upstream in 6 hours. What is the ratio of the speed of the boat in still water to the speed of the stream?
a) 4:3
b) 3:4
c) 5:2
d) 2:5

Solution: Let the speed of the boat in still water be x km/h and the speed of the stream be y km/h. According to the given conditions, we can set up the equations:
(x + y) × 4 = (x – y) × 6
Solving this equation, we get x:y = 4:3. The correct answer is (a).

The speed of a boat in still water is 20 km/h. It can travel 120 km downstream and return upstream in a total of 10 hours. What is the speed of the stream?
a) 5 km/h
b) 8 km/h
c) 10 km/h
d) 12 km/h

Solution: Let the speed of the stream be x km/h. The speed of the boat downstream is (20 + x) km/h, and the speed upstream is (20 – x) km/h. According

A boat can travel 60 km downstream in 3 hours. If the speed of the stream is 5 km/h, what is the speed of the boat in still water?
a) 15 km/h
b) 20 km/h
c) 25 km/h
d) 30 km/h

Solution: Let the speed of the boat in still water be x km/h. The speed of the boat downstream is (x + 5) km/h. According to the given conditions, we can set up the equation:
60 = (x + 5) × 3
Solving this equation, we get x = 15 km/h. The correct answer is (a).

The speed of a boat in still water is 10 km/h. It can travel 36 km upstream in 4 hours. What is the speed of the stream?
a) 2 km/h
b) 3 km/h
c) 4 km/h
d) 5 km/h

Solution: Let the speed of the stream be x km/h. The speed of the boat upstream is (10 – x) km/h. According to the given conditions, we can set up the equation:
36 = (10 – x) × 4
Solving this equation, we get x = 2 km/h. The correct answer is (a).

A boat covers a certain distance downstream in 2 hours and returns the same distance upstream in 3 hours. What is the ratio of the speed of the boat in still water to the speed of the stream?
a) 2:1
b) 3:2
c) 4:3
d) 5:4

Solution: Let the speed of the boat in still water be x km/h and the speed of the stream be y km/h. According to the given conditions, we can set up the equations:
(x + y) × 2 = (x – y) × 3
Solving this equation, we get x:y = 4:3. The correct answer is (c).

A boat can travel a certain distance downstream in 2 hours. If the speed of the stream is 3 km/h, how long will it take the boat to travel the same distance upstream?
a) 2.5 hours
b) 3 hours
c) 3.5 hours
d) 4 hours

Solution: Let the speed of the boat in still water be x km/h. The speed of the boat downstream is (x + 3) km/h. According to the given conditions, we can set up the equation:
Distance = Speed × Time
Distance = (x + 3) × 2
Time = Distance / (x – 3)
Time = 2(x + 3) / (x – 3)
The correct answer is (b) 3 hours.

A boat can travel a certain distance downstream in 5 hours. If the speed of the stream is 4 km/h, how long will it take the boat to travel the same distance upstream?
a) 6 hours
b) 7 hours
c) 8 hours
d) 9 hours

Solution: Let the speed of the boat in still water be x km/h. The speed of the boat downstream is (x + 4) km/h. According to the given conditions, we can set up the equation:
Distance = Speed × Time
Distance = (x + 4) × 5
Time = Distance / (x – 4)
Time = 5(x + 4) / (x – 4)
The correct answer is (c) 8 hours.

A boat takes 2 hours more to cover a certain distance upstream than it takes to cover the same distance downstream. If the speed of the boat in still water is 12 km/h, what is the speed of the stream?
a) 2 km/h
b) 3 km/h
c) 4 km/h
d) 5 km/h

Solution: Let the speed of the stream be x km/h. The speed of the boat downstream is (12 + x) km/h, and the speed upstream is (12 – x) km/h. According to the given conditions, we can set up the equation:
Time upstream – Time downstream = 2 hours
Distance / (12 – x) – Distance / (12 + x) = 2
Solving this equation, we get x = 3 km/h. The correct answer is (b).

A boat can travel a certain distance downstream in 4 hours. If the speed of the stream is 2 km/h, how long will it take the boat to travel the same distance in still water?
a) 6 hours
b) 8 hours
c) 10 hours
d) 12 hours

Solution: Let the speed of the boat in still water be x km/h. The speed of the boat downstream is (x + 2) km/h. According to the given conditions, we can set up the equation:
Distance = Speed × Time
Distance = (x + 2) × 4
Time = Distance / x
Time = 4(x + 2) / x
The correct answer is (b) 8 hours.

A boat can travel a certain distance downstream in 3 hours. If the speed of the stream is 5 km/h, how long will it take the boat to travel the same distance in still water?
a) 4 hours
b) 5 hours
c) 6 hours
d) 7 hours

Solution: Let the speed of the boat in still water be x km/h. The speed of the boat downstream is (x + 5) km/h. According to the given conditions, we can set up the equation:
Distance = Speed × Time
Distance = (x + 5) × 3
Time = Distance / x
Time = 3(x + 5) / x
The correct answer is (c) 6 hours.

The speed of a boat in still water is 15 km/h. If it takes 4 hours to travel upstream and 2 hours to travel downstream, then what is the speed of the stream?
a) 2 km/h
b) 4 km/h
c) 6 km/h
d) 8 km/h

Solution: Let the speed of the stream be x km/h. The speed of the boat upstream is (15 – x) km/h, and the speed downstream is (15 + x) km/h. According to the given conditions, we can set up the equations:
Distance = Speed × Time
(15 – x) × 4 = (15 + x) × 2
Solving this equation, we get x = 4 km/h. The correct answer is (b).

A boat can travel a certain distance downstream in 6 hours. If the speed of the stream is 3 km/h, how long will it take the boat to travel the same distance upstream?
a) 9 hours
b) 12 hours
c) 15 hours
d) 18 hours

Solution: Let the speed of the boat in still water be x km/h. The speed of the boat downstream is (x + 3) km/h. According to the given conditions, we can set up the equation:
Distance = Speed × Time
Distance = (x + 3) × 6
Time = Distance / (x – 3)
Time = 6(x + 3) / (x – 3)
The correct answer is (b) 12 hours.

A boat can travel a certain distance downstream in 2 hours. If the speed of the stream is 4 km/h, how long will it take the boat to travel the same distance upstream?
a) 2.5 hours
b) 3 hours
c) 3.5 hours
d) 4 hours

Solution: Let the speed of the boat in still water be x km/h. The speed of the boat downstream is (x + 4) km/h. According to the given conditions, we can set up the equation:
Distance = Speed × Time
Distance = (x + 4) × 2
Time = Distance / (x – 4)
Time = 2(x + 4) / (x – 4)
The correct answer is (b) 3 hours.

A boat takes 4 hours to cover a certain distance downstream. If the speed of the stream is 2 km/h, how long will it take the boat to cover the same distance upstream?
a) 5 hours
b) 6 hours
c) 7 hours
d) 8 hours

Solution: Let the speed of the boat in still water be x km/h. The speed of the boat downstream is (x + 2) km/h. According to the given conditions, we can set up the equation:
Distance = Speed × Time
Distance = (x + 2) × 4
Time = Distance / (x – 2)
Time = 4(x + 2) / (x – 2)
The correct answer is (c) 7 hours.

A boat can travel a certain distance downstream in 5 hours. If the speed of the stream is 3 km/h, how long will it take the boat to cover the same distance upstream?
a) 6 hours
b) 7 hours
c) 8 hours
d) 9 hours

Solution: Let the speed of the boat in still water be x km/h. The speed of the boat downstream is (x + 3) km/h. According to the given conditions, we can set up the equation:
Distance = Speed × Time
Distance = (x + 3) × 5
Time = Distance / (x – 3)
Time = 5(x + 3) / (x – 3)
The correct answer is (b) 7 hours.

A boat covers a certain distance downstream in 4 hours. If the speed of the stream is 4 km/h, how long will it take the boat to cover the same distance upstream?
a) 6 hours
b) 8 hours
c) 10 hours
d) 12 hours

Solution: Let the speed of the boat in still water be x km/h. The speed of the boat downstream is (x + 4) km/h. According to the given conditions, we can set up the equation:
Distance = Speed × Time
Distance = (x + 4) × 4
Time = Distance / (x – 4)
Time = 4(x + 4) / (x – 4)
The correct answer is (b) 8 hours.

A boat can travel a certain distance downstream in 3 hours. If the speed of the stream is 2 km/h, how long will it take the boat to cover the same distance in still water?
a) 4 hours
b) 5 hours
c) 6 hours
d) 7 hours

Solution: Let the speed of the boat in still water be x km/h. The speed of the boat downstream is (x + 2) km/h. According to the given conditions, we can set up the equation:
Distance = Speed × Time
Distance = (x + 2) × 3
Time = Distance / x
Time = 3(x + 2) / x
The correct answer is (c) 6 hours.

A boat can travel a certain distance downstream in 6 hours. If the speed of the stream is 4 km/h, what is the speed of the boat in still water?
a) 16 km/h
b) 18 km/h
c) 20 km/h
d) 22 km/h

Solution: Let the speed of the boat in still water be x km/h. The speed of the boat downstream is (x + 4) km/h. According to the given conditions, we can set up the equation:
Distance = Speed × Time
Distance = (x + 4) × 6
Solving this equation, we get x = 16 km/h. The correct answer is (a).

The speed of a boat in still water is 12 km/h. If it takes 5 hours to travel upstream and 3 hours to travel downstream, then what is the speed of the stream?
a) 2 km/h
b) 3 km/h
c) 4 km/h
d) 5 km/h

Solution: Let the speed of the stream be x km/h. The speed of the boat upstream is (12 – x) km/h, and the speed downstream is (12 + x) km/h. According to the given conditions, we can set up the equations:
Distance = Speed × Time
(12 – x) × 5 = (12 + x) × 3
Solving this equation, we get x = 2 km/h. The correct answer is (a).

A boat can travel a certain distance downstream in 4 hours. If the speed of the stream is 3 km/h, what is the speed of the boat in still water?
a) 12 km/h
b) 15 km/h
c) 18 km/h
d) 21 km/h

Solution: Let the speed of the boat in still water be x km/h. The speed of the boat downstream is (x + 3) km/h. According to the given conditions, we can set up the equation:
Distance = Speed × Time
Distance = (x + 3) × 4
Solving this equation, we get x = 12 km/h. The correct answer is (a).

A boat can travel a certain distance downstream in 5 hours. If the speed of the stream is 2 km/h, what is the speed of the boat in still water?
a) 10 km/h
b) 12 km/h
c) 14 km/h
d) 16 km/h

Solution: Let the speed of the boat in still water be x km/h. The speed of the boat downstream is (x + 2) km/h. According to the given conditions, we can set up the equation:
Distance = Speed × Time
Distance = (x + 2) × 5
Solving this equation, we get x = 10 km/h. The correct answer is (a).

A boat takes 3 hours to cover a certain distance downstream. If the speed of the stream is 4 km/h, what is the speed of the boat in still water?
a) 16 km/h
b) 18 km/h
c) 20 km/h
d) 22 km/h

Solution: Let the speed of the boat in still water be x km/h. The speed of the boat downstream is (x + 4) km/h. According to the given conditions, we can set up the equation:
Distance = Speed × Time
Distance = (x + 4) × 3
Solving this equation, we get x = 16 km/h. The correct answer is (a).

A boat can travel a certain distance downstream in 2 hours. If the speed of the stream is 5 km/h, what is the speed of the boat in still water?
a) 15 km/h
b) 20 km/h
c) 25 km/h
d) 30 km/h

Solution: Let the speed of the boat in still water be x km/h. The speed of the boat downstream is (x + 5) km/h. According to the given conditions, we can set up the equation:
Distance = Speed × Time
Distance = (x + 5) × 2
Solving this equation, we get x = 15 km/h. The correct answer is (a).

A boat can travel a certain distance downstream in 4 hours. If the speed of the stream is 2 km/h, how long will it take the boat to travel the same distance upstream?
a) 3 hours
b) 4 hours
c) 5 hours
d) 6 hours

Solution: Let the speed of the boat in still water be x km/h. The speed of the boat downstream is (x + 2) km/h. According to the given conditions, we can set up the equation:
Distance = Speed × Time
Distance = (x + 2) × 4
Time = Distance / (x – 2)
Time = 4(x + 2) / (x – 2)
The correct answer is (b) 4 hours.

A boat can travel a certain distance downstream in 3 hours. If the speed of the stream is 4 km/h, how long will it take the boat to travel the same distance upstream?
a) 2 hours
b) 3 hours
c) 4 hours
d) 5 hours

Solution: Let the speed of the boat in still water be x km/h. The speed of the boat downstream is (x + 4) km/h. According to the given conditions, we can set up the equation:
Distance = Speed × Time
Distance = (x + 4) × 3
Time = Distance / (x – 4)
Time = 3(x + 4) / (x – 4)
The correct answer is (b) 3 hours.

A boat covers a certain distance downstream in 5 hours. If the speed of the stream is 3 km/h, how long will it take the boat to cover the same distance upstream?
a) 6 hours
b) 7 hours
c) 8 hours
d) 9 hours

Solution: Let the speed of the boat in still water be x km/h. The speed of the boat downstream is (x + 3) km/h. According to the given conditions, we can set up the equation:
Distance = Speed × Time
Distance = (x + 3) × 5
Time = Distance / (x – 3)
Time = 5(x + 3) / (x – 3)
The correct answer is (b) 7 hours.

A boat can travel a certain distance downstream in 6 hours. If the speed of the stream is 2 km/h, how long will it take the boat to cover the same distance upstream?
a) 4 hours
b) 5 hours
c) 6 hours
d) 7 hours

Solution: Let the speed of the boat in still water be x km/h. The speed of the boat downstream is (x + 2) km/h. According to the given conditions, we can set up the equation:
Distance = Speed × Time
Distance = (x + 2) × 6
Time = Distance / (x – 2)
Time = 6(x + 2) / (x – 2)
The correct answer is (c) 6 hours.

A boat can travel a certain distance downstream in 2 hours. If the speed of the stream is 3 km/h, how long will it take the boat to cover the same distance upstream?
a) 2.5 hours
b) 3 hours
c) 3.5 hours
d) 4 hours