Trains A and B are traveling in the same direction on parallel tracks. Train A is traveling at 80

Miles per hour and train B is traveling at 88 miles per hour. Train A passes a station at
1:20 am A.M. If train B passes the same station at 1:35 A.M., at what time will train B catch up to
Train A?

can someone please me understand how to solve this problem?
Thanks.

Assistance needed.

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Trains A and B are traveling in the same direction on parallel tracks. Train A is traveling at 80

Miles per hour and train B is traveling at 88 miles per hour. Train A passes a station at
1:20 am A.M. If train B passes the same station at 1:35 A.M., at what time will train B catch up to
Train A?

dist from station to trains = D

ta = time in hours from when A passes station to when trains A & B meet.
D = 80ta
D = 88(ta-15/60)
solve for ta
Time at catch-up = 1:20 AM + ta

To solve this problem, you need to calculate the time it takes for train B to catch up to train A. Here's how you can approach it:

1. Determine the time difference between when train A passes the station and when train B passes the station. In this case, train A passes at 1:20 am and train B passes at 1:35 am. The time difference is 15 minutes (35 minutes - 20 minutes).

2. Convert the time difference into hours. Since there are 60 minutes in an hour, dividing the time difference of 15 minutes by 60 gives you 0.25 hours.

3. Compute the distance that train A travels in the time difference. Distance = Speed × Time. Train A is traveling at 80 miles per hour, so the distance it covers in 0.25 hours is 80 miles/hour × 0.25 hour = 20 miles.

4. Now that you know the distance train A has traveled, you can figure out how long it will take for train B to cover the same distance. Since both trains are traveling in the same direction, the relative speed between them is the difference of their speeds: 88 miles per hour - 80 miles per hour = 8 miles per hour.

5. Use the formula Time = Distance / Speed to calculate the time it will take for train B to cover the distance of 20 miles at a speed of 8 miles per hour. Time = 20 miles / 8 miles per hour = 2.5 hours.

6. Add the time it took for train B to catch up (2.5 hours) to the time train B passed the station (1:35 am) to find out the time when train B catches up to train A. 1:35 am + 2.5 hours = 4:05 am.

Therefore, train B will catch up to train A at 4:05 am.