SOLUTION: Pump A and Pump B each can empty a tank in 2hrs. Another Pump C can empty the same tank using double the time of Pump A. If all 3 pumps are working together at the same time, how l

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Question 1010820: Pump A and Pump B each can empty a tank in 2hrs. Another Pump C can empty the same tank using double the time of Pump A. If all 3 pumps are working together at the same time, how long will it take to empty the tank?
Please have a clear explanation! Thanks.
Found 2 solutions by lwsshak3, josgarithmetic:
Answer by lwsshak3(11628)   (Show Source): You can put this solution on YOUR website!
Pump A and Pump B each can empty a tank in 2hrs. Another Pump C can empty the same tank using double the time of Pump A. If all 3 pumps are working together at the same time, how long will it take to empty the tank?
Please have a clear explanation! Thanks.
Pump A can empty the tank in 2-hrs
Its work rate=1/2
Pump B can empty the tank in 2-hrs
Its work rate=1/
Pump C can empty the tank in 4-hrs
Its work rate=1/4
sum of indv. work rates =work rate working togethe
rworking together the 3 pumps can empty the tank in x hrs
their work rate =1/x
1/2+1/2+1/4=/1/x
5/4=1/x
x=4/5
long will it take to empty the tank? 4/5 hr
Answer by josgarithmetic(39621)   (Show Source): You can put this solution on YOUR website!
The rates of the different pumps are given as one unit of capacity in some amounts of time.
The pumps work to remove water from ONE tank. 

PUMP         RATE(TANKS PER HOUR)
A            1/2
B            1/2
C            1/4

The flow rate for the three pumps working at the same time is the sum of their individual rates.

Their combined rate, tanks-worth per hour, .
This means, that quantity of TANKS, done in 1 HOUR.
YOU want what is amount of time in order to empty ONE tank.


Reciprocal of .
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