Chapter 1, Problem 21P

To determine

To find: The difference in percentage of one mile race in comparison to the given length race.

Answer to Problem 21P

One-mile race is 7.3% longer than 1500 m race.

Explanation of Solution

Given:

The two race lengths are 1 mile and 1500 m.

Formula Used:

The percentage is

  $\text{Long}\%=\frac{L_1-L_2}{L_2}\times 100$

Here, $L_1=1\text{mile}=1609.34\text{m}$

And $L_2=1500\text{m}$

So,

  $\begin{array}{c}\text{Long}\%\text{of }{L}_1=\frac{L_1-L_2}{L_2}\times 100\\ =\frac{1609.34-1500}{1500}\times 100\\ =\frac{109.34}{1500}\times 100\\ =7.289\%\\ \approx 7.3\%\end{array}$

Conclusion:

Therefore, one-mile race is 7.3% longer than 1500 m race.