2006 SMT/General Problems/Problem 1

Problem

After a cyclist has gone $\frac{2}{3}$ of his route, he gets a flat tire. Finishing on foot, he spends twice as long walking as he did riding. How many times as fast does he ride as walk?

Solution

He goes twice as far riding, but spends twice as long walking. As $2\times 2=4$, the answer is $4$.

See Also