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Two cars started from the same point and traveled on a strai

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Two cars started from the same point and traveled on a strai [#permalink] New post 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?

[Reveal] Spoiler: OA
48 mph and 56 mph


Math Review
Question: 14
Page: 244
Difficulty: medium

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

[Reveal] Spoiler: OA
48 mph and 56 mph


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

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