Question

Thomas is on a road trip to San Francisco. At this point, he is already 140 miles away from his house. He continues driving at a rate of 65 miles every hour. Which equation represents the number of hours, h, it takes Thomas to be 500 miles away from his house. Based on the given information, how many hours will it take Thomas to be exactly 335 miles away from his house?

A. 1 hour
B. 2 hours
C. 3 hours
D. 4 hours

Answer 1

Given this situation, we can note that:

• Thomas is already 140 miles from his house
• He drives at a rate of 65 mph

Using this information, we want to know first how many hours it takes for Thomas to be 500 miles away from his house. We can set up a series of equations to find this out:

500 - 140 = 360
65h = 360
h ≈ 5.5

It will take Thomas approximately 5hrs 30 minutes to be 500 miles from his house.

We now need to identify how many hours it will take for Thomas to be exactly 335 miles away from his house:

335 - 140 = 195
65h = 195
h = 3

Hence, it will take Thomas 3 hours to be exactly 335 miles away from his house. This is represented best by option C.