Q46. - Algebra 1

Question

Write an equation and solve each problem.

TRAVEI Mr. Jones drove 480 miles to a business meeting. His travel time to the meeting was 8 hours and from the meeting was 7.5 hours. Find his rate of travel for each leg of the trip.

Step-by-Step Solution

Answer

The rate of the travel for the meeting is 60 miles per hour and the rate of travel from the meeting is 64 miles per hour.

Step 1. Assign variables for the numbers.

A variable is a letter or a literal used to signify an unknown quantity.

Let letter $x$ represent the rate of travel of Jones.

Step 2. Form an equation and solve for rate to the meeting.

It is given that the Jones drove 480 miles to the business meeting and his travel time to the meeting was 8 hours

Thus we have:

$\begin{array}{l}\text{Rate}=\frac{\text{distance}}{\text{time}}\\ x=\frac{480miles}{8hours}=60miles/hour\end{array}$

Thus the rate of the travel for the meeting is 60 miles per hour.

Step 3. Form an equation and solve for rate to the meeting.

It is given that the Jones drove 480 miles from the business meeting and his travel time to the meeting was 7.5 hours

Thus, we have:

$\begin{array}{l}\text{Rate}=\frac{\text{distance}}{\text{time}}\\ x=\frac{480miles}{7.5hours}=64miles/hour\end{array}$

Thus, the rate of travel from the meeting is 64 miles per hour.