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CBSE Class 10 Answered

There is a leak in the bottom of the tank. This leak can empty a full tank in 8 hr. When the tank is full, a tap is opened into the tank which intakes water at rate of 6 L per hour and the tank is now emptied in 12 hr. What is the capacity of the tank?
Asked by rushabh1234 | 31 Jan, 2019, 09:28: AM
answered-by-expert Expert Answer
Part of the tank emptied by the leak in 1 hr = 1/8

Let part of the tank filled by the tap in 1 hr = x

Part of the tank emptied by the leak and tap together = 1/12

According to the question,
begin mathsize 16px style 1 over 8 minus straight x equals 1 over 12 we space get space straight x space equals space 1 over 24 end style
Part of the tank filled by the tap in 1 hr = begin mathsize 16px style 1 over 24 end style
Pipe can be filled by the tap in 24 hrs
Capacity of the tank 24 × 6 = 144 litre
Answered by Sneha shidid | 31 Jan, 2019, 10:47: AM

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