A tank is to be filled completely with water for which 8 pipes of the same kind are used. The tank gets filled in 1 hour and 40
minutes. If 10 pipes of the same kind, as mentioned above, are used, in how much time (in hours and minutes) will the tank be
completely filled?
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SSC MTS 22nd October 2021 Shift-1
1 hour 30 minutes
Incorrect Answer1 hour 20 minutes
Correct Answer1 hour 45 minutes
Incorrect Answer2 hour 5 minutes
Incorrect AnswerExplanation:
- Eight pipes fill the tank in 1 hour and 40 minutes, which is equivalent to 100 minutes.
- Together, they fill at a rate of 1 tank per 100 minutes.
- Therefore, one pipe fills the tank at a rate of 1/800 of the tank per minute.
- With ten pipes, the filling rate becomes 10/800 or 1/80 of the tank per minute.
- To find the time required for ten pipes, calculate the reciprocal of their combined rate: 80 minutes.
- Option:1 - 1 hour 30 minutes (90 minutes): Too long.
- Option:2 - 1 hour 20 minutes (80 minutes): The correct answer.
- Option:3 - 1 hour 45 minutes (105 minutes): Too long.
- Option:4 - 2 hours 5 minutes (125 minutes): Too long.
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