Train Problems
A train leaves station A at 08:15 AM and travels to station B at an average speed of 60 miles per hour. The distance between station A and station B is 180 miles. At the same time, another train leaves station B heading towards station A, traveling at an average speed of 90 miles per hour.
At what time will the two trains pass each other?
To find the time when the two trains pass each other, we first need to determine how long it takes for them to meet.
ReplyDeleteCalculate the combined speed of both trains:
Train 1 speed: 60 mph
Train 2 speed: 90 mph
Combined speed = 60 mph + 90 mph = 150 mph
Determine the time it takes for the trains to meet:
Distance between the stations: 180 miles
Time = Distance / Combined speed = 180 miles / 150 mph = 1.2 hours
Convert 1.2 hours to minutes:
1.2 hours = 1 hour and 0.2 hours
0.2 hours × 60 minutes/hour = 12 minutes
Add the time to the departure time:
Departure time: 08:15 AM
Time taken to meet: 1 hour and 12 minutes
The two trains will pass each other at 09:27 AM.