A garden hose can fill a swimming pool in 3 days, and a larger hose can fill the pool in 2 days. How long will it take to fill the pool if both hoses are used?

In one day garden hose can fill 1/3 of pool.

In one day larger hose can fill 1/2 of pool.

In one day  if both are used can fill 1/3+1/2 of pool.

=(3+2)/6 =5/6.

Number of days required =6/5 =1.2days.

=1 1/5 days.