Vicki F. answered 07/16/20
Engineering Grad Student with Passion for Math and Chemistry
Hi Tim. To solve this question, you will first need to figure out how long it takes the plane to travel 600 miles. Then you can calculate how far the car will travel in that time.
You are given the speed of the plane and the distance it travels. Speed and distance are related to time by the formula distance = speed × time.
For the plane, 600 miles = 15 miles/min × time. So time = 600/15 = 40 minutes.
You can calculate the distance the car travels in 40 minutes using the same formula, distance = speed × time. But first, the units for speed and time must be compatible. Because the speed of the car is given in miles per hour, you must convert the time from minutes to hours.
time = 40 minutes = 40/60 hour = 2/3 hour
Now you can solve for the distance the car travels.
distance = 75 miles/hour × 2/3 hour = 50 miles
The car travels 50 miles.