Question

The train station of new york city and burlington, vermont, are approximately 295 miles apart. One train leaves new york for burlington at 9 A.M. at an average speed of 70 mph. A second train leaves burlington for new york two hours later and travels at 85 mph. At what time did they pass each other

Answer 1

8:04 am

Explanation:

The first train travels 60 miles from 6am to 7am

So at 7am the trains are 455 - 60 = 395 miles apart

First train: Distance from town A (DA) = Velocity* time = 60t

Second train: Distance from town B (DB) = Velocity*time = 70t

So, DA + DB = 60t + 70t

395 = 130t

t = 395/130

= 3.4 hrs

= 3 hrs 4 mins

The first train left at 5am so the exact time would be 8:04am (5am +3 hrs and 4 minutes)