Question:
If Pipe A fills a tank in 4 hours, Pipe B fills a tank in 5 hours, how much time will they take to fill if each pipe is turned on after an interval of 1 hour?
If Pipe A fills a tank in 4 hours, Pipe B fills a tank in 5 hours, how much time will they take to fill if each pipe is turned on after an interval of 1 hour?
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When working with rates and intervals, calculate the total contribution of each pipe over each cycle before determining the total time.
Updated On: May 1, 2025
- 4 hours 24 minutes
- 4 hours 40 minutes
- 5 hours 30 minutes
- 6 hours 10 minutes
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The Correct Option is A
Solution and Explanation
Let the time taken to fill the tank be T.
- Pipe A fills the tank in 4 hours, so in 1 hour it fills \( \frac{1}{4} \) of the tank.
- Pipe B fills the tank in 5 hours, so in 1 hour it fills \( \frac{1}{5} \) of the tank.
Each pipe is turned on after an interval of 1 hour. The total filling time is a combination of the times taken by each pipe at different intervals.
After solving, we get that the total time to fill the tank is 4 hours 24 minutes.
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