Posted by val on Wednesday, December 5, 2012 at 12:06am.
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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