Problema Solution

It takes 4 hurs for a large pump to drain a pool and together with a small puymp it akes 3 hours to drain the pool. how long would it take the small pump to drain the pool by itself?

Answer provided by our tutors

Time taken by large pump = 4

 

amount emptied in 1 hour = 1/4

Amount emptied by large in 3 hours = 3/4

 

Amount emptied by the small pump = 1 - 3/4

=> amount emptied by small pump in 3 hours = 1/4

=> amount emptied by small in 1 hour = 1/4*1/3 = 1/12

total time required = 1/(1/12)=12 hours