Question

16. A truck traveling 45 miles per hour and a train traveling 60 miles per hour cover the same distance. The truck travels 2 hours longer than the train. How many hours does each travel?

What equation would represent the total distance traveled by both the train and the truck? [Hint: Remember the distance traveled formula d = rt.]

A. 105x + 90
B. 105x
C. 45x + 90
D. 60x

Answer 1

A.

Explanation:

d = rt

If t is the time taken by the train, then the truck takes t+2 hours.

For the truck:

d = 45(t + 2)

For the train:

d = 60t

Total distance travelled by both:

= 2d

= 60t + 45(t + 2)

= 60t + 45t + 90

= 105t + 90 where t is the time taken by the train.