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Pipe A and B can fill the tank in 10 hours and 20 hours respectively where as pipe C can empty the tank in 8 hours. If all the pipes are opened together at the same time, what is the time to fill the tank ?
45 hr
36 hr
40 hr
27 hr
None of these
- Pipe A can fill the tank in 10 hours, so it fills 1/10 of the tank in an hour.
- Pipe B can fill the tank in 20 hours, so it fills 1/20 of the tank in an hour.
- Pipe C can empty the tank in 8 hours, so it drains 1/8 of the tank in an hour.
- When all pipes are opened together:
- The net fill rate per hour = (1/10 + 1/20 - 1/8).
- Simplified: (2/20 + 1/20 - 2.5/20) = 0.5/20 = 1/40 of the tank per hour.
- Therefore, the tank is filled in 40 hours when all pipes work together.
- Option 3: 40 hr.
By: Parvesh Mehta ProfileResourcesReport error
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