Question

Tameron is driving 540 miles to college.

He drives at a rate of 45 miles per hour.
How many hours will it take him to get 3/4 of the way there?

A. 6 Hours
B. 9 Hours
C. 36 Hours
D. 12 Hours

Answer 1

9 hours

Explanation:

540 divided by 45 is 12.

3/4 of 12 is 9

so 9 hours

Answer 2

9514 1404 393

Answer:

9

Explanation:

3/4 of the distance is ...

(3/4)(540 mi) = 405 mi

The relationship between distance, speed, and time is ...

time = distance/speed

time = (405 mi)/(45 mi/h) = 9 h

It will take Tameron 9 hours to get 3/4 of the way there.

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Alternate solution

Tameron can go 3/4 of the distance in the same time it would take to go the full distance if he were driving 4/3 times as fast. (4/3)(45 mph) = 60 mph.

time = (540 mi)/(60 mi/h) = 9 h

Effectively, we have done the same calculation ...

`\frac{(3)/(4)(540\text{ mi})}{45\text{ mi/h}}=\frac{540\text{ mi}}{(4)/(3)(45\text{ mi/h})}=9\text{ h}`