ACT Math · Ratios, rates, and percents

Pipe A can fill a tank in 6 hours. Pipe B can fill the same tank in 4 hours. Working together, how long will it take to fill the tank?

Pipe A can fill a tank in 6 hours. Pipe B can fill the same tank in 4 hours. Working together, how long will it take to fill the tank?

Answer and explanation

Answer: D: 2.4 hours

Work with rates. Pipe A fills 16\frac{1}{6} of the tank per hour and Pipe B fills 14\frac{1}{4} per hour. Together, 16+14=212+312=512\frac{1}{6}+\frac{1}{4}=\frac{2}{12}+\frac{3}{12}=\frac{5}{12} of the tank per hour. The time is the reciprocal: 125=2.4\frac{12}{5}=2.4 hours, choice D. The answer must be shorter than the faster pipe's time of 44 hours. Choice B (1010) adds the individual times, which makes the combined job slower than either pipe alone. Choice C (55) averages the times. Choice A (22) assumes both pipes take the same time of 44 hours or a wrong rate.

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