How long would it take each pump to fill the tank working alone?
Jan 28
A pump can fill the tank in half the time the other pump takes in doing the same. It takes 7 hours to finish to fill the tank if they’re working together.
No. of hours it will take the faster pump—s:
1/(s + 1/2s) = 7
1/(3/2s) = 7
2/3s = 7
s = 21/2 or 10 1/2
No. of hours it will take the slower pump:
= 2(21/2)
= 42/2 or 21
Answer: faster pump, 10 1/2 hours; slower pump, 21 hours
Filed under: Tank Pump
No. of hours it will take the faster pump—s:
1/(s + 1/2s) = 7
1/(3/2s) = 7
2/3s = 7
s = 21/2 or 10 1/2
No. of hours it will take the slower pump:
= 2(21/2)
= 42/2 or 21
Answer: faster pump, 10 1/2 hours; slower pump, 21 hours
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