If 12 pumps can empty a reservoir in 20 hours,

Question:

If 12 pumps can empty a reservoir in 20 hours, then time required by 45 such pumps to empty the same reservoir is ______ hours.

Solution:

Time taken by 12 pumps to empty a reservoir = 20 hr

Time taken by 1 pump to empty the reservoir = 20 × 12 = 240 hr

Hence, time taken by 45 pumps to empty the reservoir = 240/45 = (240×60)/45

= 14400/45 = 320 min

= 5×69 + 20 min

= 5 hour 20 min

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