SOLUTION: pump A working together with pump B can drain a tank of water in 5 hours. pump A working alone can drain the tank in T hours. pump B working alone can drain the pump in (T-4) hou

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Question 157884: pump A working together with pump B can drain a tank of water in 5 hours.
pump A working alone can drain the tank in T hours.
pump B working alone can drain the pump in (T-4) hours.
how long does it take for pump A to drain the tank by itself?
how long does it take for pump B to drain the tank by itself?
Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!
P%5Ba%5D%2BP%5Bb%5D=5hours ----------------------> working eqn
Also, P%5Ba%5D=T%5Bhr%5D, P%5Bb%5D=%28T-4%29%5Bhr%5D
Substitute in working eqn:
T%2B%28T-4%29=5hours
2T=5%2B4=9 ----> cross%282%29T%2Fcross%282%29=9%2F2
T=4.5hours ---------------------------> for Pump%5Ba%5D
T-4=4.5-4=0.5hour --------------------> for Pump%5Bb%5D
In doubt? go back working eqn:
4.5hrs%2B0.5hr=5hours
5hours=5hours
Thank you,
Jojo