Question

Traveling at a constant speed, a race car goes 15 miles every 6 minutes. explain how to reason about a double number line... a) how far does the race go in 15 minutes ? b) how long does it take the race car to go 20 miles?

Answer 1

The race car, traveling at a constant speed of 2.5 miles per minute, will go 37.5 miles in 15 minutes and will take 8 minutes to travel 20 miles.

Step-by-step explanation:

To solve this problem, we need to determine the speed of the race car and then use that information to calculate distances and times. First, we find that the race car travels 15 miles in 6 minutes. To find the speed in miles per minute, we divide 15 miles by 6 minutes, which gives us a speed of 2.5 miles per minute. Part A: Distance in 15 minutes a) To find out how far the race car would go in 15 minutes, we multiply the speed (2.5 miles per minute) by the time (15 minutes): 2.5 miles/minute * 15 minutes = 37.5 miles. Part B: Time to go 20 miles. b) To determine how long it will take the race car to go 20 miles, we divide the distance (20 miles) by the speed (2.5 miles per minute): 20 miles / 2.5 miles/minute = 8 minutes.