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Two cars started from the same point and traveled on a strai [#permalink]
24 May 2019, 01:54

Expert's post

Two cars started from the same point and traveled on a straight course in opposite directions for exactly 2 hours, at which time they were 208 miles apart. If one car traveled, on average, 8 miles per hour faster than the other car, what was the average speed of each car for the 2-hour trip?

Re: Two cars started from the same point and traveled on a strai [#permalink]
25 May 2019, 04:16

1

This post received KUDOS

Expert's post

Carcass wrote:

Two cars started from the same point and traveled on a straight course in opposite directions for exactly 2 hours, at which time they were 208 miles apart. If one car traveled, on average, 8 miles per hour faster than the other car, what was the average speed of each car for the 2-hour trip?

Math Review Question: 14 Page: 244 Difficulty: medium

One car traveled, on average, 8 miles per hour faster than the other car Let x = speed of slower car (in miles per hour) So, x + 8 = speed of faster car (in miles per hour)

Two cars started from the same point and traveled on a straight course in opposite directions for exactly 2 hours, at which time they were 208 miles apart. This is an expanding gap question The distance between cars EXPANDS at a rate of x + x + 8 miles per hour Simplify: the rate of expansion = 2x + 8 miles per hour

distance = (time)(rate) We can write: 208 = (2)(2x + 8) Expand: 208 = 4x + 16 Subtract 16 from both sides: 192 = 4x Solve: x = 48

The slower car traveled at 48 miles per hour The faster car traveled at 56 miles per hour

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