Problema Solution
With water from one hose, a swimming pool can be filled in 9 hours. A second, larger hose used alone can fill the pool in 2 hours. How long would it take to fill the pool if both hoses were used simultaneously?
Answer provided by our tutors
the rate of the first hose is 1/9 pool per hour
the rate of the second larger hose is 1/2 pool per hour
let 'x' represent the number of hours both hoses need to fill the pool together, x>0
the together rate is 1/x pool per hour
1/9 + 1/2 = 1/x
by solving we find:
x = 1.64 hr
click here to see the step by step solution of the equation:
of both houses are working simultaneously it will take 1.64 hours to fill the pool.