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Question

6 pumps can irrigate a large farm in 4 days if work for 8 hours each day. How many minutes each day did 5 pumps work if the same farm was irrigated in 12 days?

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Solution

Part of farm irrigated if 6 pumps work for 4 days and 8 hours each day =1

That is, Part of farm irrigated if 6 pumps work for total 4×8=32 hours is =1
Part of farm irrigated if 6 pumps work for 1 hour is =132
Part of farm irrigated if 1 pump work for 1 hour is =132×6

Let 5 pumps work for x hours each day, to irrigate the farm in 12 days.

Now,
Part of farm irrigated if 5 pump work for 1 hour is =532×6

Part of farm irrigated if 5 pump work for 12x hour is =5×12x32×6=5x16

So,
5x16=1
x=165 hours

x=165×60 minutes =192 minutes

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