SOLUTION: a) Larry drove 195 miles in 1 hour more time than it took Terrell to drive 134 miles. Terrell drove at an average rate of 2 miles per hour faster than Larry did. How fast did eac

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Question 366138: a) Larry drove 195 miles in 1 hour more time than it took Terrell to drive 134 miles. Terrell drove at an average rate of 2 miles per hour faster than Larry did. How fast did each one travel?
Found 2 solutions by stanbon, solver91311:
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
Larry drove 195 miles in 1 hour more time than it took Terrell to drive 134 miles. Terrell drove at an average rate of 2 miles per hour faster than Larry did. How fast did each one travel?
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Larry drove 195-134 = 61 miles in one hour.
His rate was 61 mph.
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Terrell's rate was 63 mph.
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Cheers,
Stan H.

Answer by solver91311(24713) (Show Source):
You can put this solution on YOUR website!

Remember

Let represent Larry's rate and represent Larry's time. Then represents Terrell's rate and represents Terrell's time.

Larry's trip:

which can be expressed:

And Terrell's trip:

which can be expressed:

and simplified to:

Since we know we can now write:

Cross-multiplying and collecting terms results in:

Solve for and exclude the negative root -- unless you think the two of them were going back in time. is Larry's rate. Add 2 to get Terrell's rate.

John

My calculator said it, I believe it, that settles it