math
posted by val .
Currently, the Toyota Corolla is the best selling car in the world. Suppose that during a test drive of two Corollas, one car travels 224 miles in the same time that the second car travels 175 miles. If the speed of the first car is 14 miles per hour faster than the speed of the second car, find the speed of both cars.

speed x time = distance
let v be the speed of the second car
We know that:
(v+14) x t = 224
and
v x t = 175
Let's isolate t for both equations. You get:
t = 224 / (v+14)
and
t = 175 / v
We know that t is the same for both, so:
224 / (v+14) = 175 / v
Cross multiply.
224v = 175(v+14)
224v = 175v + 2450
Collect like terms:
49v = 2450
v = 50
Therefore, the speed of the first car is (50+14) = 64 mph, while the speed of the second car is 50 mph.
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