Train A and B are traveling in the same direction on a parallel track. Train A is traveling at 100 miles per hour and train B is traveling at 120 miles per hour. Train A passes a station at 2:20 pm. If train B passes the same station at 2:35pm, at what time will train B catch up to train A?
What interval of time passes between train A passing the station and train B reaching the station?
How far does train A travel in the time it takes train B to reach the station.?
How far is train A from train B when train B passes the station, or what distance between the two trains must train B close when train B passes the station?
If train B is traveling at 120mph and train A 100mph, at what net speed is train B overtaking train A?
Being D miles apart when train B passes the station and train B overtaking train A at Vmph, the increment ot time required for train B to overtake train A becomes T = D/V making the time of meeting 2:35 PM + T.
To find out at what time train B will catch up to train A, we need to calculate the time difference between when train A passes the station and when train B passes the station.
First, let's determine the time difference between when train A passes the station and when train B passes the same station:
Train A passes the station at 2:20 pm.
Train B passes the station at 2:35 pm.
To calculate the time difference, we subtract the time of train A from the time of train B:
2:35 pm - 2:20 pm = 15 minutes
So, train B is 15 minutes behind train A when it passes the station.
Now, we need to calculate how long it will take for train B to catch up to train A. We'll use the relative speed between the two trains, which is the difference in their speeds:
Relative speed = Speed of train B - Speed of train A
Relative speed = 120 mph - 100 mph = 20 mph
Since train B is 20 mph faster than train A, it will be catching up to train A at a rate of 20 miles per hour.
Now, we can calculate the time it will take for train B to catch up to train A. We'll use the formula:
Time = Distance / Speed
The distance that needs to be covered is the distance traveled by train A during the time difference. We need to convert the time difference (15 minutes) into hours. Since there are 60 minutes in an hour:
Time = 15 minutes / 60 minutes per hour = 0.25 hours
Now, we can calculate the distance traveled by train A during this time:
Distance = Speed * Time
Distance = 100 mph * 0.25 hours = 25 miles
So, train B needs to cover a distance of 25 miles to catch up to train A.
Finally, we can calculate the time it will take for train B to cover this distance, using the relative speed between the two trains:
Time = Distance / Speed
Time = 25 miles / 20 mph = 1.25 hours
Now, we add this time to the time train B passes the station:
2:35 pm + 1.25 hours = 3:35 pm
Therefore, train B will catch up to train A at 3:35 pm.