SOLUTION: Blaise rode his bike to his friend Elroy's house, which was 15 miles away. After he had been riding for half an hour, he go a flat tire. He walked his bike the rest of the way. The

Question 374395: Blaise rode his bike to his friend Elroy's house, which was 15 miles away. After he had been riding for half an hour, he go a flat tire. He walked his bike the rest of the way. The total trip took him 3 hours. If his walking rate was one-fourth as fast as his riding rate, how fast did he ride?

Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Blaise rode his bike to his friend Elroy's house, which was 15 miles away.
After he had been riding for half an hour, he go a flat tire.
He walked his bike the rest of the way. The total trip took him 3 hours.
If his walking rate was one-fourth as fast as his riding rate, how fast did he ride?
:
Let w = his walking rate
then
4w = his riding rate
:
Given that he rode .5 hrs, then he walked: 3 - .5 = 2.5 hrs
:
Write a distance equation: Dist = time * speed
2.5w + .5(4w) = 15
:
2.5w + 2w = 15
:
4.5w = 15
w =
w = 3 mph is his walking speed
then
4(3) = 13 mph is his riding speed
:
:
Check solution using decimals
2.5(3.33) + .5(13.33) = 14.99 ~ 15, confirms our solutions
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