InterviewSolution
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One fifth of a tank is filled by pipe at the rate of 10 lit/h, three - fifth of a tank is filled by pipe at the rate of 15 lit/h and rest at the rate of 5 lit/h. If average rate of pipe at which tank will completely get filled is 'A' lit/hr then, find the value of 'A'?1). 52). 103). 124). 25 |
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Answer» Let the TOTAL capacity of a tank be ‘m’ litres Average rate = total distance/time taken ⇒ Time taken by a pipe to fill 1/5th of a tank = (m/5)/10 = m/50 hr ⇒ Time taken by a pipe to fill 3/5th of a tank = (3m/5)/15 = m/25 hr ⇒ REST PART of a tank remain to fill = m {1 – (1/5 + 3/5)} = m (1 – 4/5) ⇒ Rest part of a tank remain to fill = m/5 ⇒ Time taken by a pipe to fill rest of tank = (m/5)/5 = m/25 hr Total time taken by a pipe to fill tank completely = = (m/50 + m/25 + m/25) = 5m/50 = m/10 Average rate to fill tank completely = ⇒ A = Total capacity of a tank/Total time taken by a pipe to fill tank completely ⇒ A = m/ (m/10) ⇒= 10 lit/hr ∴ Average rate at which tank will completely get FILLED is 10 lit/hr. Alternate Solution: Let the total tank capacity be 50 litres Then total time = 1 + 2 + 2 = 5 hours Average rate will be = 50/5 = 10 lit/hr |
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