Problem

Word problem involving a U.S. Customary length conversion
Maya drove 13 laps on a race track. Each lap was the same length. If she drove a total of $57.2 \mathrm{mi}$ what was the length of each lap? Write your answer in yards. Use the table of conversion facts as necessary, and do not round your answer.
$7 \mathrm{yd}$
\begin{tabular}{|c|}
\hline Conversion facts for length \\
\hline 12 inches (in) $=1$ foot $(\mathrm{ft})$ \\
\hline 3 feet $(\mathrm{ft})=1$ yard $(\mathrm{yd})$ \\
\hline 36 inches $($ in $)=1$ yard $(y d)$ \\
\hline 5280 feet $(\mathrm{ft})=1 \mathrm{mile}(\mathrm{mi})$ \\
\hline 1760 yards $(\mathrm{yd})=1 \mathrm{mile}(\mathrm{mi})$ \\
\hline
\end{tabular}

Answer

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Answer

So, each lap is 7744 yards long. The final answer is \(\boxed{7744}\).

Steps

Step 1 :First, we need to find out how long each lap is in miles. Since Maya drove a total of 57.2 miles in 13 laps, we divide the total distance by the number of laps. The calculation is \(\frac{57.2 \text{ miles}}{13 \text{ laps}} = 4.4 \text{ miles/lap}\).

Step 2 :Next, we need to convert this distance from miles to yards. From the conversion table, we know that 1 mile is equal to 1760 yards. So, we multiply the length of each lap in miles by the number of yards in a mile. The calculation is \(4.4 \text{ miles/lap} \times 1760 \text{ yards/mile} = 7744 \text{ yards/lap}\).

Step 3 :So, each lap is 7744 yards long. The final answer is \(\boxed{7744}\).

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