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Chad W. | Experienced and Professional Tutor on a BicycleExperienced and Professional Tutor on a ...

This is an example of a combined rates problem. Pump A has a rate of 0.20 tanks per hour. Pump B has a rate of 0.125 tanks per hour. Thus, their combined rate is 0.325 tanks per hour.

The reciprocal of the rate gives hours per tank.

1/0.325 = 3.0769 hours per tank

To convert this to minutes, multiply by 60.

(3.0769 hr/tank) * (60 min/hr) = 184.62 min/tank

We round this to the nearest minute. Thus, it takes about 185 minutes to fill the tank when the pumps work together.

The combined rate formula:

(time combined) = 1 / ( 1/(time A) + 1/(time B) )

A in one hour does 1/5

A in x hours does x/5

B in one hour does 1/8

B in x hours does x/8

x/5 + x/8 = 1 (the one complete tank)

Can you solve for x and answer?

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