Question

If a car is traveling $75$ miles per hour, how many feet will it travel in $10$ seconds?

Answer 1

Find the distance travelled by the car in $10$ seconds:

We know that,

$$\begin{gathered} 1\text{miles}=5280\text{feet} \\ 75\text{miles}=396000\text{feet} \end{gathered}$$

And

$1\text{hour}=3600\text{seconds}$

Step-1: Find the speed of the car travelled:

Then we know that the formula for the speed can be expressed as,

$\text{speed}=\frac{\text{distance travelled}}{\text{time}}$

Substitute $396000\text{feet}$ for distance travelled and $3600\text{seconds}$ for time in the above Equation.

$$\begin{gathered} \text{speed}=\frac{\text{distance travelled}}{\text{time}} \\ \text{speed}=\frac{396000\text{feet}}{3600\text{seconds}} \\ \text{speed}=110\frac{\text{feet}}{\text{seconds}} \end{gathered}$$

Step-2: Find the distance travelled by the car in $10$ seconds

$$\begin{gathered} \text{speed}=\frac{\text{distance travelled}}{\text{time}} \\ \text{distance travelled}=\text{speed×time} \end{gathered}$$

Substitute $110\frac{\text{feet}}{\text{second}}$ for speed and $10\text{seconds}$ for time in the above Equation.

$$\begin{gathered} \text{distance travelled}=110\frac{\text{feet}}{\text{second}}\times 10\text{seconds} \\ \text{distance travelled}=1100\text{feet} \end{gathered}$$

Hence, the distance travelled by the car in $10$ seconds is $1100$ feet.