SOLUTION: A salesman drives from Ajax to Barrington, a distance of 122 mi, at a steady speed. He then increases his speed by 14 mi/h to drive the 172 mi from Barrington to Collins. If the se

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: A salesman drives from Ajax to Barrington, a distance of 122 mi, at a steady speed. He then increases his speed by 14 mi/h to drive the 172 mi from Barrington to Collins. If the se      Log On

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Question 1013952: A salesman drives from Ajax to Barrington, a distance of 122 mi, at a steady speed. He then increases his speed by 14 mi/h to drive the 172 mi from Barrington to Collins. If the second leg of his trip took 10 min more time than the first leg, how fast was he driving between Ajax and Barrington?
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
                         rate         time        distance
Ajax to Barr.            r             t           122
Barrinton to Cols.       r+14         t+1/6        172

Be sure the data table makes sense to you.

RT=D, basic relationship;
system%28rt=122%2C%28r%2B14%29%28t%2B1%2F6%29=172%29, find r.


You should know what to do from there.



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Substitute for t using t=122/r, and simplify through the algebra steps, and you should have a step, r%5E2-286r%2B10248=0.