The distance between city A and city B is 585 miles. A freight train leaves city A and travels toward city B at 41 miles per hour. At the same time, a passenger train leaves city B and travels toward city A at 76 miles per hour. How long will it take the two trains to meet?
A) 117 hours
B) 46 hours
C) 122 hours
D) 5 hours

Question

Quizplus · Accepted Answer

We can use the formula:

time = distance / speed

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

The freight train travels a distance of 41t miles before meeting the passenger train.

The passenger train travels a distance of 76t miles before meeting the freight train.

Together, they travel a distance of 585 miles.

So we can set up the equation:

41t + 76t = 585

117t = 585

t = 5

Therefore, it will take the two trains 5 hours to meet.

The Distance Between City a and City B Is 585