A pump can be operated both for filling a tank and for emptying it. The capacity of the tank is 2400 \(m^{3}\). The emptying capacity of the pump is 10 \(m^{3}\) per minute higher than its filling…
Question and options
A pump can be operated both for filling a tank and for emptying it. The capacity of the tank is 2400 . The emptying capacity of the pump is 10 per minute higher than its filling capacity. Consequently, the pump needs 8 minutes less to empty the tank than to fill it. The filling capacity of the pump is
- 40 /minute
- 50 /minute
- 60 /minute
- 80 /minute
Answer and explanation
Correct answer: B - 50 \(m^3\)/minute
2400/f - 2400/(f+10) = 8 gives f^2 + 10f - 3000 = 0, so f = 50 m^3 per minute. Check: 48 min to fill, 40 min to empty.
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