Two automobiles are 150 kilometers apart and traveling toward each other. One automobile is moving at 60 km/h and the other is moving at 40 km/h. In how many hours will they meet?
A) 2.5
B) 2.0
C) 1.75
D) 1.5
E) 1.25

Question

Quizplus · Accepted Answer

We can start by using the formula: distance = speed x time.

Let's call the time it takes for the two automobiles to meet "t".

The distance that the faster automobile (moving at 60 km/h) travels in time "t" can be represented as:

distance = speed x time 
distance = 60t

Similarly, the distance that the slower automobile (moving at 40 km/h) travels in time "t" can be represented as:

distance = speed x time 
distance = 40t

Since they are moving towards each other, their distances should add up to the total distance between them:

distance of faster automobile + distance of slower automobile = total distance 
60t + 40t = 150 
100t = 150

Solving for "t", we get:

t = 1.5

Therefore, they will meet in 1.5 hours. 
The answer is D, 1.5.

Two Automobiles Are 150 Kilometers Apart and Traveling Toward Each