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Question

A water pump takes 6hours to fill an overhead tank. The standby pump takes 10hours to fill the same tank. If the first pump fails after 2hours then how long will the standby pump take to fill the rest?


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Solution

Step 1: Find the amount of water to fill in two hours.

A water pump takes 6hoursto fill an overhead tank.

The standby pump takes 10hours to fill the same tank.

1hour=16 of the tank

2hours=16x2=13 of the tank

Find the amount of water to be filled:

Amount of water to be filled =113=23 of the tank

Step 2: Finding the number of hours needed for the standby pump to fill the tank:

The standby pump takes 10hoursto fill the tank

1tank=10hour

23 of the tank =23x10=203hours=6hours40mins

Hence, It will take6hours40mins for the standby pump to fill up the rest of the tank.


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