A container is normally filled in 5 hours. However, it takes 6 hours when there is a leak at the bottom. If the container is full, in what time would the leak empty it, if no water is allowed into the container during that period?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 30 h.
Given:
Container is normally filled in 5 hours
When there is a leak, it is filled in 6 hours
Concept Used:
Total work = Efficiency × Time
Calculations:
Total work (LCM of 5 and 6) = 30 units
Efficiency without leak, A (30/5) = 6 units
Efficiency with leak, A - B (30/6) = 5 units
Hence, the efficiency of leak (6 - 5) = 1 unit
Total time required by the leak to empty the container = 30/1 = 30 h