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Two pipes can fill a tank in 12 hours and 24 hours respectively. The pipes are opened simultaneously and it is found that due to leakage in the tank, it took 2 hours more to fill the tank. When the tank is completely full, in what time will the leak empty it?1). 34 hours2). 36 hours3). 38 hours4). 40 hours |
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Answer» Let the leak empty the TANK in h hours. ∴ In 1 hr, it EMPTIES 1/h part. Given, TWO pipes can fill a tank in 12 hours and 24 hours respectively 1 hr, they can fill 1/12 and 1/24 part respectively. Thus, working together, in 1 hr part of tank they can fill = 1/12 + 1/24 = 1/8 ∴ They can fill the tank in 8 hours. Now due to the leak it TOOK 2 hours more. Thus, the tank was filled in 10 hours. In 1hr, part of tank filled = 1/10 ⇒ 1/8 – 1/h = 1/10 ⇒ 1/8 – 1/10 = 1/h ⇒ h = 40 hours |
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