Question

A car travels 180 miles in 3 hours and 45 minutes. How many miles does it travel per hour?

Answer 1

ASK

DISTANCE DISTANCE FORMULA DISTANCE WORD PROBLEMS DISTANCE, RATE, TIME SPEED DISTANCE TIME DISTANCE WORD PROBLEM

Michaela B. asked • 09/02/15

A car travels 180 miles in t hours at a speed of r mph. If the car travels half as fast but three times as long, how far does it travel?

Use the fact that distance equals speed times time.

Follow4

Add comment

More

2 Answers By Expert Tutors

By:

Best

Michael J. answered • 09/02/15

TUTOR 5 (5)

Effective High School STEM Tutor & CUNY Math Peer Leader

SEE TUTORS LIKE THIS

d = vt

where:

v = speed

d = distance

t = time

Based on the formula, each quantity is directionally proportional to each other. Since we don't have enough numbers to work with, we will utilize our concept skills.

If the car travels half the speed, then the car is slowing down and covers a short distance in a certain amount of time than it did originally. So we divide the default distance by 2.

180 / 2 = 90

The new distance so far is 90 miles.

But now it takes the car 3 times as long to get to its destination. The longer it takes, the more distance you will cover. Multiply the current distance by 3.

90 * 3 = 270

The car travels 270 miles.

Answer 2

48 miles per hour

Explanation:

first I would convert everything to hours It makes it easier. That means that 3 hours and 45 mins becomes 3 3/4 hours So now you have 180/3.75 = the rate. To find the answer, simply divide that, and you get 48. 48 miles per hour