AAPL wrote:Five drainage pipes, each draining water from a pool at the same constant rate, together can drain a certain pool in 12 days. How many additional pipes, each draining water at the same constant rate, will be needed to drain the pool in 4 days?
A) 6
B) 9
C) 10
D) 12
E) 15
Let the rate for each pipe = 1 liter per day, implying that the rate for 5 pipes = 5 liters per day.
Since the pool is drained by 5 pipes in 12 days, the pool = rt = 5*12 = 60 liters.
To drain the 60-liter pool in 4 days, the required rate = w/t = 60/4 = 15 liters per day.
Since the rate must increase from 5 liters per day to 15 liters per day -- an increase of 10 liters per day -- 10 additional pipes are needed.
The correct answer is
C.
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