Question
Download Solution PDFA tap can fill a tank in 8 hours. After half the tank is filled, four more similar taps are opened. What is the total time taken to fill the tank completely?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
A tap can fill a tank in 8 hours.
After half the tank is filled, four more similar taps are opened.
Formula used:
Rate of filling = Work done per hour
Time = Work ÷ Rate
Calculation:
Time taken by 1 tap to fill the tank = 8 hours
Rate of 1 tap = 1 ÷ 8 (tank/hour)
Time to fill half the tank with 1 tap = 1 ÷ 2 × 8 = 4 hours
Remaining tank to be filled = 1/2
With 5 taps (1 original + 4 additional):
Rate of 5 taps = 5 × (1 ÷ 8) = 5/8 (tank/hour)
Time to fill the remaining half tank:
⇒ Time = Work ÷ Rate
⇒ Time = (1/2) ÷ (5/8)
⇒ Time = 8/10 = 0.8 hours
⇒ 0.8 × 60 = 48 minutes
Total time to fill the tank:
⇒ 4 hours (first half) + 0.8 hours (second half)
⇒ 4 hours + 48 minutes
∴ The correct answer is option (2): 4 hours, 48 minutes.
Last updated on Jul 16, 2025
-> More than 60.65 lakh valid applications have been received for RPF Recruitment 2024 across both Sub-Inspector and Constable posts.
-> Out of these, around 15.35 lakh applications are for CEN RPF 01/2024 (SI) and nearly 45.30 lakh for CEN RPF 02/2024 (Constable).
-> The Examination was held from 2nd March to 18th March 2025. Check the RPF Exam Analysis Live Updates Here.