Problema Solution
Working together, it takes two different sized hoses
20
minutes to fill a small swimming pool. If it takes
25
minutes for the larger hose to fill the swimming pool by itself, how long will it take the smaller hose to fill the pool on its own?
Answer provided by our tutors
let
x = minutes the smaller hose needs to fill the pool on its own
thus the rate of the smaller hose is 1/x pools per min
it takes 25 minutes for the larger hose to fill the swimming pool by itself thus its rate is 1/25 pools per min
working together, it takes two different sized hoses 20 minutes to fill a small swimming pool thus their together rate is 1/20 pools per min
1/x + 1/25 = 1/20
by solving we find:
x = 100 min
click here to see the step by step solution of the equation:
it takes 100 minutes for the smaller hose to fill the pool on its own.