Problema Solution

A reservoir can be filled by one pipe in 6 hours and by another pipe in 8 hours. It can be emptied by a third pipe in 10 hours. Starting empty, how long will it take to fill the reservoir if all pipes are open?

Answer provided by our tutors

The time taken to fill the reservoir if all pipes are open is x

So the equation is x

1/6 + 1/8 + 1/10 = 1/x

So

x = 120/47 = 2.55

So The time taken to fill the reservoir if all pipes are open is 120/47= 2.55 hours