The formula for calculating the speed of the vehicle before the brakes were played is expressed as
![s\text{ = }\sqrt[]{24d}](https://img.qammunity.org/2023/formulas/mathematics/college/dkqr98preot4q7ac6rwvggebd81829uquc.png)
where
s represents the speed of the vehicle before the brakes were played
d repersents the length of the skidmark
From the information given,
d = 250 feet
We would convert 250 feet to miles
Recall, 5280 feet = 1 mile
250 feet = 250/5280 = 0.04735 miles
By substituting d = 0.04735 into the formula, we have
![\begin{gathered} s\text{ = }\sqrt[]{24*0.04735}\text{ = }\sqrt[]{1.1364} \\ s\text{ =1.06602 } \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/fnb5a85bwy4yh1gcgvemqp3s42p4t9wi8z.png)
Rounding to the nearest tenth,
speed =