SOLUTION: Kathryn started biking to the study group traveling 10 mph, after some time the bike got a flat so Kathryn walked the rest of the way, traveling 3 mph. If the total trip to the stu

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Question 1123152: Kathryn started biking to the study group traveling 10 mph, after some time the bike got a flat so Kathryn walked the rest of the way, traveling 3 mph. If the total trip to the study group took 9 hours and it was 55 miles away, how long did Kathryn travel at each speed?
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39616)   (Show Source):
You can put this solution on YOUR website!

SPEEDS TIMES DISTANCES Riding 10 x 10x Walking 3 9-x 3(9-x) Total 9 55

First find the time riding, x.

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Answer by ikleyn(52775)   (Show Source):
You can put this solution on YOUR website!
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Let t be the time she biked. The she walked for (9-t) hours. The total distance is 10t + 3*(9-t) = 55 10t + 27 - 3t = 55 7t = 55 - 27 = 28 t = 28/7 = 4. Answer. She biked 4 hours and walked 9-4 = 5 hours. Check. 1)10*4 + 3*5 = 55 miles. ! Correct !

Solved.

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