Pipe A fills in 6 hours. Pipe B in 12 hours. Combined time = ?
Correct answer: B. 4 hours
- A. 3 hours
- B. 4 hours
- C. 5 hours
- D. 6 hours
Explanation
The correct answer is B: 4 hours. To find the combined time for Pipe A and Pipe B to fill the tank together, calculate their rates of work: Pipe A's rate is 1/6 (since it fills the tank in 6 hours) and Pipe B's rate is 1/12. Add these rates together to get their combined rate: 1/6 + 1/12 = 2/12 + 1/12 = 3/12 = 1/4. The combined rate of 1/4 means the pipes together fill 1/4 of the tank in 1 hour, so they will fill the whole tank in 4 hours. Option A is incorrect because it assumes a faster filling rate. Option C underestimates the combined efficiency, and Option D is the time for Pipe A alone, not the combined time.
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