Pipe A fills 1/3 in 1 hour, B fills 1/4 in 1 hour. Time to fill tank?
Correct answer: C. 1.714 hours
- A. 2.5 hours
- B. 1.5 hours
- C. 1.714 hours
- D. 3 hours
Explanation
The correct answer is 1.714 hours. To find the time it takes for both pipes to fill the tank together, first calculate the rate at which each pipe fills the tank:Pipe A fills 1/3 of the tank in one hour, and Pipe B fills 1/4 of the tank in one hour.The combined rate of both pipes is (1/3 + 1/4) of the tank per hour. Find a common denominator to add these fractions:1/3 = 4/12 and 1/4 = 3/12. Therefore, the total rate is 4/12 + 3/12 = 7/12 of the tank per hour.To find the time to fill the whole tank, use the formula: Time = 1 ÷ Combined Rate = 1 ÷ (7/12) = 12/7 ≈ 1.714 hours.The other options are incorrect as they do not account for the correct combined rate of the pipes.
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