When will the two trains meet? Word Problem

Question

two trains leave station 228 miles apart at the same time and travel towards each other . one train travels at 105 miles per hour while the other travels at 85 miles per hour. how long will it take the two trains to meet?

Answer 1

Remember that distance = rate×time. The trains must travel 228 miles before they meet and, collectively, they move 105 + 85 = 190 miles closer to each other every hour. This means that distance = 228 miles and rate = 190 mph. Plug those into the formula and solve for time:

 

228 = 190(time)

228/190 = time

1.2 = time

 

The time it will take the trains to meet is 1.2 hours.