Q52. - Algebra 1

Question

A car traveled at 55 miles per hour for 2.5 hours and then at 65 miles per hour for 3 hours. How far did the car travel in all?

F. 300.5 mi

G. 305 mi

H. 330 mi

J. 332.5 mi

Step-by-Step Solution

Answer

The car traveled 332.5 mi. So, the correct option is (J).

Step 1. Given information.

Firstly, the car traveled at 55 mi/hour for 2.5 hours. And then at 65 mi/hour for 3 hours.

Step 2. Write the formula.

Distance is the product of speed and time.

So,

$d=s\times t$

Here d is the distance, s is the speed and t is the time.

Step 3. Find the distance.

When the car traveled at 55 mi/hour for 2.5 hours. Then the distance is:

$$\begin{gathered} d_1=55\times 2.5 \\ =137.5\text{\hspace{0.17em}\hspace{0.17em}mi} \end{gathered}$$

When the car traveled at 65 mi/hour for 3 hours. Then the distance is:

$$\begin{gathered} d_2=65\times 3 \\ =195\text{\hspace{0.17em}\hspace{0.17em}mi} \end{gathered}$$

Step 4. Conclusion.

The total distance traveled by car is given by:

$$\begin{gathered} d=d_1+d_2 \\ =137.5+195 \\ =332.5\text{\hspace{0.17em}\hspace{0.17em}mi} \end{gathered}$$