Discussion
Two pipes can fill a tank in 40 hours and 48 hours respectively and a outlet pipe can empty 20 gallons of water per hour. All the three pipes working together can fill the same empty tank in 40 hours. What is the capacity of the tank?
Answer: B
The two inlet pipes fill 1/40 + 1/48 = 11/240 of the tank every hour, and the outlet empties 20 gallons per hour. All three together fill the tank in 40 hours, so in each hour they add 1/40 of the capacity C.
\[ \frac{C}{40} = \frac{11C}{240} - 20 \]
\[ 20 = \frac{5C}{240} \]
So C = 960 gallons, option (B). Check: 960 / 40 = 24, and 960 x 11 / 240 = 44, and 44 - 20 = 24. The values 840, 900 and 1000 gallons do not satisfy the equation.
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