1.

A cistern is filled in 4 hours and it takes 6 hours when there is a leak in its bottom. How long will the leak take to empty the full cistern?1). 6 hrs2). 5 hrs3). 12 hrs4). 10 hrs

Answer»

Given,

Time to FILL the CISTERN without leak = 4 hrs

∴ Part FILLED without leak in 1 hour = 1/4

Time TAKEN to fill the cistern with leak = 6 hrs

∴ Part filled with leak in 1 hour = 1/6

∴ Part emptied by leak in 1 hour = 1/4 - 1/6 = 1/12

∴ Total time to taken to empty the cistern by the leak = 12 hrs


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