Problema Solution
A pool can be filled with two pipes in 6 hours. If the first pipe fills the pool in 24 hours, how long will it take for the second pipe to fill the pool?
Answer provided by our tutors
let
x = 24 hours the first pipe fills the pool alone
y = hours the second pipe fills the pool alone
together they need 6 hours
in 1 hour the first pipe will fill 1/24 parts of the pool
in 1 hour the second pipe will fill 1/y parts of the pool
in 1 hour both pipes together will fill 1/6 parts of the pool
1/24 + 1/y = 1/6
by solving we find
y = 8 hours
the second pipe needs 8 hours to fill the pool.