A cistern has a leak which would empty it in 8 hours. A tap is turned on which admits 6 litres a minute into the cistern and it is now emptied in 12 hours. How many litres does the cistern hold?
cistern has a leak which would empty it in 8 hours
=> Leak rate per hour = 1/8 cistern or say x/8 (x is the capacity of cistern)
Now from the second statement
=> x/8 - 6 = x/12
=> x/8-x/12 = 6
=> x/24 = 6
=> x=144 Ltr
cistern capacity is 144 ltr
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