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Pipes A and B can together fill a tank in 20 hours and pipe C can empty 40% of the tank in 20 hours. Find the time taken by all the 3 pipes together to fill 60% of the tank.
20 hours
25 hours
12 hours
30 hours
None of these
- Pipe A and B together fill the tank in 20 hours.
- In 1 hour, Pipes A and B fill 1/20 of the tank.
- Pipe C can empty 40% of the tank in 20 hours.
- In 1 hour, Pipe C empties 40% of 1/20 = 1/50 of the tank.
- Net work by all pipes in 1 hour: (1/20 - 1/50).
- Simplifying: \( \frac{5 - 2}{100} = \frac{3}{100} \).
- Together, they fill 3% of the tank per hour.
- To fill 60% of the tank: \( \frac{60}{3} = 20 \) hours.
- Correct Answer: Option 1 - 20 hours
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By: Parvesh Mehta ProfileResourcesReport error
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