# algebra

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Two drivers travel 150 miles on a
freeway and then stop at a wayside rest area. The
first driver travels 5 miles per hour faster and arrives
1/7 hour ahead of the second. Find the average speed
of each car.

• algebra -

Let the speed of the faster car be V. The other is then V - 5 (in mph)

The travel times are 150/V and 150/(V-5)

150/(V-5) - 150/V = 1/7 hour

Solve that equation for V. That will require solving a quadratic. I'd prefer to take a guess or two.

If V = 75,
2.143 - 2.000 = 0.143 = 1/7

Therefore the speeds are 75 and 70 mph

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