AP Police SI previous year question
Pipe B fills a tank 5 hrs faster than A and 4 hrs slower than C. Time for A and C together to fill the tank equals time for B alone. Time (hrs) for A and C together is
Asked in AP Police SI Prelims: 2023 (Paper I & II) · Quantitative Aptitude
Tap an option to check your answer.
Show answer and explanation
Correct answer: (D) 4 2/7
Let B = t hrs, A = t+5, C = t−4. Given 1/(t+5)+1/t = 1/(t−4). Solving: t²−8t−20=0 → t=10. So A=15, B=10, C=6. Time for A&C together = 1/(1/15+1/6) = 30/7 = 4 2/7 hrs.
---
हिंदी में प्रश्न
पाइप B टंकी को A से 5 घंटे कम समय में और C से 4 घंटे अधिक समय में भरता है। A और C को मिलकर टंकी भरने में जितना समय लगता है, वह B के अकेले भरने के समय के बराबर है। A और C को मिलकर भरने में लगने वाला समय (घंटे) है
उत्तर जाँचने के लिए किसी विकल्प पर टैप करें।
उत्तर और व्याख्या देखें
सही उत्तर: (D) 4 2/7
मान लें B = t घंटे, A = t+5, C = t−4। दिया गया है 1/(t+5)+1/t = 1/(t−4)। हल करने पर: t²−8t−20=0 → t=10। अतः A=15, B=10, C=6। A और C के साथ मिलकर काम करने का समय = 1/(1/15+1/6) = 30/7 = 4 2/7 घंटे।
More solved Quantitative Aptitude questions
- X buys an article for Rs.2,000, sells to Y at 25% gain; Y sells to Z at p% gain; Z sells to T at 20% loss. T pays Rs.2,100. p =
- Two solutions of 90% and 97% purity are mixed to make 21 litres of 94% purity. The quantity (litres) of the 97% solution is
- A vessel has L₁:L₂ = 11:8. 9.5 litres of mixture removed and replaced with L₂; new ratio 11:12. Quantity of L₂ (litres) in final mixture is
- A finishes a task alone in 25 days (12 hrs/day); B in 50 days (12 hrs/day). B starts, A joins after 2 days. B works 18 hrs/day, A works 12…
- 5 men build a wall in 20 days, 8 women in 25 days, 10 boys in 30 days. Time (days) for 2 men, 6 women, 5 boys together is
- P, Q, R complete a work alone in 20, 15, 12 days. Q and R start and leave after the 3rd day. Days needed for P to finish the remaining…