SOLUTION: Working together, pump A and pump B can fill a pool in 8 hours. How long would it take pump A to fill a pool working alone if pump B (working alone) can fill a pool 1 hour faster t

Algebra ->  Rate-of-work-word-problems -> SOLUTION: Working together, pump A and pump B can fill a pool in 8 hours. How long would it take pump A to fill a pool working alone if pump B (working alone) can fill a pool 1 hour faster t      Log On


   

Question 1117043: Working together, pump A and pump B can fill a pool in 8 hours. How long would it take pump A to fill a pool working alone if pump B (working alone) can fill a pool 1 hour faster than pump A (working alone)?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
x, time for pump A alone, to fill pool
x-1, time for pump B alone


1%2Fx%2B1%2F%28x-1%29=1%2F8------solve this for x.
.
.
x%5E2-17x%2B8=0
.
.
x=16%261%2F2