# math

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if a person can fill a tank in 12 min. and another person can fill a tank in 20 min. How long will it take both of them to fill 1 tank together?

• math -

12/60 = 1/5 of an hour

1 tank can be filled in 1/5 of an hour
your rate is 5 tanks per hour

20/60 = 1/3 of an hour

The tank can be filled in 1/3 of an hour. your rate is 3 tanks per hour

(5 tanks per hour)time + (3 tanks per hour)time = 1 tank filled
5t + 3t = 1
t =1/8 of an hour.

This makes sense because it should take less time to fill the tank if both are working together.

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