Chapter A.8, Problem 53AYU

To determine

To find: How many meters would Bolt beat Burke?

Answer to Problem 53AYU

$19.28$ meters

Explanation of Solution

Given:

In the 2012 Olympics, Usain Bolt of Jamaica won the gold medal in the 100-meter race with a time of $9.69$ seconds. In the 1896 olympics. Thomas Burke of the United States won the gold medal in the 100-meter race in $12.0$ seconds. If they ran in the same race, repeating their respective times.

Calculation:

The speed of the second runner.

$\frac{100}{12}=8.33\text{meter/sec}$

Find how far he would run $9.69$ seconds.

$9.69*8.33=80.72\text{meters}$

Therefore $100-80.72=19.28 \text{meters}$ behind the first runner when he cross the finish line.