Question

it takes a smaller hose twice as long to fill a small pool as it does a larger hose. it takes both hoses working together 40 minutes to fill the pool. how long will it take the smaller hose to fill the pool by itself?

Answer 1

Lets denote the hoses as variables.
small hose per unit time = h
larger hose per unit time = H

h = 1/2H

40(h+H) = full
40(h+2h) = full
40(3h) = full
120(h) = full

120 minutes or 2 hours