SOLUTION: When working alone, Gail can finish her paper route in 6 hours. When Mike subsitutes for her, he can complete the job in 9 hours. If they work together, how long should it take the

Algebra ->  Test -> SOLUTION: When working alone, Gail can finish her paper route in 6 hours. When Mike subsitutes for her, he can complete the job in 9 hours. If they work together, how long should it take the      Log On


   

Question 34170: When working alone, Gail can finish her paper route in 6 hours. When Mike subsitutes for her, he can complete the job in 9 hours. If they work together, how long should it take them?
Answer by venugopalramana(3286) About Me  (Show Source):
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SEE THE FOLLOWING AND TRY
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Pump A can fill a tank in 6 hours. Pump A and B together can fill the same tank in 3.5 hours. How long will it take to pump B to fill the tank alone? Can you show me how to do this problem? Thank you.
1 solutions
Answer 20208 by venugopalramana(1472) About Me on 2006-04-17 01:14:18 (Show Source):
Pump A can fill a tank in 6 hours.
A FILLS IN 1 HOUR..............1/6 TANK
Pump A and B together can fill the same tank in 3.5 hours.
A&B FILL IN 1 HOUR..........1/3.5 TANK=10/35=2/7 TANK
SO IN 1 HOUR B FILLS 2/7 - 1/6 = (2*6-1*7)/(6*7)=5/42...TANK
SO PUMP B ALONE WILL TAKE 1/(5/42) HRS TO FILL THE TANK =42/5=8.4 HRS.
How long will it take to pump B to fill the tank alone?
Can you show me how to do this problem? Thank you.