SOLUTION: please help me solve this question... a pool has two pumps. Pump A empties the pool in 4 hours. Pump B empties the pool in 12 hours. How long will it take to empty the pool if both
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Question 477221: please help me solve this question... a pool has two pumps. Pump A empties the pool in 4 hours. Pump B empties the pool in 12 hours. How long will it take to empty the pool if both pumps are working together? thanks so much
i think the answer is 3?...i divided 3 into 12..not sure if thats correct
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Rate of pump A: 1/4 of a pool per hour
Rate of pump B: 1/12 of a pool per hour
Combined rate: 1/4+1/12 = 3/12+1/12 = 4/12 = 1/3
So if they work together, the two pumps have a combined rate of 1/3 of a pool per hour (ie in one hour, the two pumps will empty 1/3 of the pool)
But we want to empty ONE pool (not 1/3 of one). So we need to multiply 1/3 by some number x to get 1. So
Now solve for x
So it will take the two pumps 3 hours to empty the pool.
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