Math CentralQuandaries & Queries


Question from Omi, a student:

Marie rode her bicycle from her home to the bicycle shop in town and then walked back home. If she averaged 6 miles per hour riding and 3 miles per hour walking, how far is it from her home to the bicycle shop if her total travel time was 1 hour?


Suppose the distance to the bike shop is d miles. On the way to the bike shop she travels at 6 miles per hour so it takes her 1/6 of an hour to go a mile and hence it takes her d/6 hours to go the d miles to the bike shop.

Using the same logic how long does it take her to walk the d miles home? The sum of these two times is 1 hour. Solve for d.

Make sure you check your answer.


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