SOLUTION: Bob travels 20 miles, Tom travels 15. If Bob’s speed is 25mph faster than tom’s, what is the average speed of each?

Question 1137410: Bob travels 20 miles, Tom travels 15. If Bob’s speed is 25mph faster than tom’s, what is the average speed of each?
Found 2 solutions by ikleyn, greenestamps:
Answer by ikleyn(52797)   (Show Source): You can put this solution on YOUR website!
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Bob travels 20 miles, Tom travels 15. If Bob’s speed is 25mph faster than tom’s, what is the average speed of each?
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Makes no sense.

More than million valid answers are possible.

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Comment from student : If we assumed the travel occurred in the same time, would it “make sense”?
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My response :   Yes.

Answer by greenestamps(13200)   (Show Source): You can put this solution on YOUR website!

The problem is very poorly stated; without making assumptions, it can't be answered.

So I will assume the 20 miles by Bob and the 15 miles by Tom are in the same amount of time.

In that case, since the times are the same and the ratio of distances is 4:3, the ratio of speeds is also 4:3; so call the speeds 4x and 3x. Then, if Bob's speed is 25mph faster than Tom's,

Bob's speed is 4x = 100mph; Tom's speed is 3x = 75mph.
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