SOLUTION: Steve travels 4 times as fast as Fred. Traveling in opposite directions, they are 105 miles apart after 3 hours. Find their rates of travel.

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Question 1131899: Steve travels 4 times as fast as Fred. Traveling in opposite directions, they are 105 miles apart after 3 hours. Find their rates of travel.
Answer by greenestamps(13195) About Me  (Show Source):
You can put this solution on YOUR website!


Let x = Fred's speed
Then 4x = Steve's speed
And x+4x = 5x = the rate at which the distance between them is changing if they go in opposite directions.

Then

3%285x%29+=+105
15x+=+105
x+=+7

Fred's speed is x = 7mph
Steve's speed is 4x = 28mph