trains a and b are traveling in the same direction on parallel tracks. train a is traveling at 60 miles per hour and train b is traveling at 80 miles per hour. train a passes a station at 9:10 am. if train b passes the same station at 9:25am, at what time will train b catch up to train a?

Question

trains a and b are traveling in the same direction on parallel tracks. train a is traveling at 60 miles per hour and train b is traveling at 80 miles per hour. train a passes a station at 9:10 am. if train b passes the same station at 9:25am, at what time will train b catch up to train a?

Answer 1

is that an olympiad question? I so, the answer may be 12:25. It may be this because you have to use lcm to get the answer. The lcm is 240 and 80 goes in to 240 3 times. 9:25 plus 3 hours is 12:15.

Answer 2

Sorry I meant 12:25 is the answer.

Answer 3

To find out at what time train b will catch up to train a, we need to determine the time difference between when train a passed the station and when train b passed the same station. Then we can use this time difference to calculate the time it will take for train b to catch up to train a.

First, let's find the time difference between the two trains passing the station:

Train a passed the station at 9:10 am.
Train b passed the station at 9:25 am.

To find the time difference, we subtract the time train a passed the station from the time train b passed the station:

9:25 am - 9:10 am = 15 minutes

So there is a 15-minute time difference between the two trains passing the station.

Now, since both trains are traveling in the same direction on parallel tracks, the rate at which they approach each other is the difference in their speeds.

To find the relative speed between train a and train b, we subtract the speed of train a from the speed of train b:

Relative speed = speed of train b - speed of train a
= 80 mph - 60 mph
= 20 mph

So the relative speed between the two trains is 20 mph.

Now, we can calculate the time it will take for train b to catch up to train a. Since the distance between the trains remains constant, we can use the formula:

Time = Distance / Speed

In this case, the distance between the trains is zero since they are at the same point when train b catches up to train a. Therefore, the equation becomes:

Time = 0 miles / 20 mph

Since the distance is zero, the time required for train b to catch up to train a is zero as well.

So train b will catch up to train a at the same time it passes the station, which is 9:25 am.