Question
Download Solution PDFAn inlet pipe can fill an empty tank in 120 hours while an outlet pipe drains a completely-filled tank in 54 hours. If 8 inlet pipes and 3 outlet pipes are opened simultaneously, when the tank is empty, then in how many hours will the tank get completely filled?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDF
An inlet pipe can fill an empty tank in 120 hours
Formula Used:-
The total capacity of the tank (Work) = Efficiency × Time
Calculation:-
| Time | Efficiency | Total work | |
| inlet pipe | 120 | 9 | 1080 |
| outlet pipe | 54 | 20 |
According to the question,
8 inlet pipes and 3 outlet pipes are opened simultaneously
⇒ work done 1 hours = 8 × 9 - 20 × 3
⇒ 72 - 60 = 12
SO,
Time = 1080/12 = 90
∴ The required answer is 90.
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