SOLUTION: Hi pump a can empty a 1200 litre tank in 15 minutes while pump b can empty it in 5 minutes. how long will it take empty the tank using both pumps simultaneously. Thanks

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Question 1019532: Hi
pump a can empty a 1200 litre tank in 15 minutes while pump b can empty it in 5 minutes.
how long will it take empty the tank using both pumps simultaneously.
Thanks

Answer by ikleyn(52873) About Me  (Show Source):
You can put this solution on YOUR website!
.
Hi
pump a can empty a 1200 litre tank in 15 minutes while pump b can empty it in 5 minutes.
how long will it take empty the tank using both pumps simultaneously.
Thanks
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The rate of the first  pump is 1200%2F15 = 80 liters per minute.

The rate of the second pump is 1200%2F5 = 240 liters per minute.

When both pumps work simultaneously, their total rate is 80 + 240 = 320 liters per minute.

Hence, it will take 1200%2F320 = 33%2F4 minutes = 3 minutes 45 seconds for both pumps to empty the tank, if they work simultaneously.

For many samples of solved problems on joint work see the lesson Using fractions to solve word problems on joint work in this site.