Problema Solution
Working together, two pumps can drain a certain pool in 3 hours. If it takes the older pump 8 hours to drain the pool by itself, how long will it take the newer pump to drain the pool on its own?
Answer provided by our tutors
let
x = the hours the newer pump needs to drain the pool in its won
1/x pools per hour is the rate of the newer pump
1/8 pools per hour is the rate of the older pump
1/3 pools per hour is the together rate
1/x + 1/8 = 1/3
by solving we find
x = 4.8 hr
x = 4 hr 48 min
click here to see the step by step solution of the equation
the newer pump needs 4 hr 48 min to drain the pool on its own.