# Rational Equation Applications

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```					Rational Equation
Applications
Math 0099
G. Clement

S
Fractions

S One number is ¾ of another
number, and their sum is 63.

Find the two numbers.
Fractions

S One number is 3 less than another
number. The sum of their reciprocals is
equal to 7 divided by the product of the
two numbers.

Find the two numbers.
Work

S One pipe can empty a pool in 6
hours, and another pipe can empty
the same pool in 4 hours. If both
valves are open, how long would it
take to empty the pool?
Work

S Working together, Greg and Cindy
can clean the snow from a driveway
in 20 minutes. If it would’ve taken
Cindy 36 minutes to do the job
alone, how long would it have taken
Greg alone?
Work
Distance, Rate, and Time

S An airplane can fly 650 mph in still
air. If it can travel 2,800 miles with
the wind in the same time it can
travel 2,400 miles against the same
wind, find the wind speed.
Distance, Rate, and Time

S It takes Lisa, traveling at 50 mph, 45
minutes longer to go a certain
distance than it takes Maria traveling
at 60 mph over the same distance.
Find the distance traveled.

```
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