Question

Two Metra trains approach each other on separate but parallel tracks. Train A has a speed of 90 km/hr, train B has a speed of 80 km/hr. Initially, the two trains are 2.71 km apart. How long will it take the two trains to meet?

a. Write two complete equations that describe the position of: Train A, Train B.
c. At what exact time will train A and train B be at the same position?
d. At what position is train A when it meets train B?
e. How far has train B traveled in this time?

Answer 1

The two trains will take approximately 0.96 minutes to meet.

Step-by-step explanation:

To solve this problem, we can use the formula:

distance = speed x time

First, let's write the equations for Train A and Train B:

Equation for Train A: Distance = (Speed of Train A) x (Time taken by Train A)

Equation for Train B: Distance = (Speed of Train B) x (Time taken by Train B)

Since the two trains are moving towards each other, the total distance covered by both trains is the initial distance between them.

So, the equation becomes: 2.71 km = (90 km/hr + 80 km/hr) x (Time taken by both trains)

Now, solve the equation to find the time taken by both trains to meet.

(90 km/hr + 80 km/hr) x (Time taken by both trains) = 2.71 km

170 km/hr x (Time taken by both trains) = 2.71 km

(Time taken by both trains) = 2.71 km / 170 km/hr

Now, calculate the time taken by both trains:

(Time taken by both trains) = 0.016 hours

To find the time in minutes, multiply the time in hours by 60:

(Time taken by both trains) = 0.016 hours x 60 minutes/hour

(Time taken by both trains) = 0.96 minutes