Question

A large truck, traveling 30 miles per hour, carries a letter from the central post office to the local post office. The letter is then loaded onto a local vehicle, which travels at an average speed of 10 miles per hour, until the letter reaches its destination. The large truck carried the letter for aa minutes and the local vehicle carried the letter for bb minutes. If the total distance that the letter traveled from the central post office to its destination was 24 miles, which of the following equations correctly relates aa and bb?

1) aa + bb = 24
2) aa - bb = 24
3) aa * bb = 24
4) aa / bb = 24

Answer 1

The correct equation that relates aa and bb is aa + (bb/3) = 24.

Step-by-step explanation:

The total distance traveled by the letter from the central post office to its destination is 24 miles. The large truck carried the letter for aa minutes, traveling at a speed of 30 miles per hour. The local vehicle carried the letter for bb minutes, traveling at a speed of 10 miles per hour. To find the equation that relates aa and bb, we need to consider the distance traveled by each vehicle. The distance traveled by the large truck can be calculated using the formula: distance = speed * time. Therefore, the distance traveled by the large truck is 30 * (aa/60) miles. The distance traveled by the local vehicle is 10 * (bb/60) miles. Since the total distance is 24 miles, we can set up the equation:
30 * (aa/60) + 10 * (bb/60) = 24
Simplifying this equation gives us the correct equation that relates aa and bb as:
aa + (bb/3) = 24
Therefore, the correct option is 1) aa + bb = 24.