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Pipe A can fill a tank in 4 hours, and Pipe B can fill it in 6 hours. If both pipes work together, how long will it take to fill the tank?

GRE · 2025 · quant slot 2
Question:
Pipe A can fill a tank in 4 hours, and Pipe B can fill it in 6 hours. If both pipes work together, how long will it take to fill the tank?

Options

(A) 2.0 hours
(B) 2.4 hours
(C) 2.5 hours
(D) 3.0 hours
(E) 5.0 hours
Answer: (B) 2.4 hours

Explanation:
Rate of A = 1/4 per hour, Rate of B = 1/6 per hour. Combined rate = 1/4 + 1/6 = 3/12 + 2/12 = 5/12 per hour. Time = 1 ÷ (5/12) = 12/5 = 2.4 hours.

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