The Bicycle and the Car

Strategies and Hints

  1. Using b for Boyd's speed on the bicycle and c for Carlene's speed in the car, the two distances are bh for Boyd and ch for Carlene.

  2. From Passing to Finish, Boyd covers a distance ch and Carlene covers bh.

  3. No, the times are not equal. From Passing to Finish, Boyd travels 25 times as long as Carlene.

  4. The ratio of Boyd's time to Carlene's time can be written in two ways:

    25:1 and .

Solution

Set the two ratios equal and then find the ratio b:c.