Question

Motion problem

Two trains leave Boston at the same time traveling in opposite directions. One train travels qt a rate of 35 miles per hour, while the other train travels at a ratw of 63 miles per hour. How many hours will it be before the trains are 441 miles apart

Can someone please explain how to do this problem?​

Answer 1

4.5 hours

Explanation:

Given: Train running in opposite direction

Speed of one train (
`S_1`)= 35 mph

Speed of one train (
`S_2`)= 63 mph

Distance to be covered = 441 miles

∵ Train is running in opposite direction, so their relative speed =
`(S_1 + S_2)`

Relative speed =
`(35 + 63) = 98 mph`

Now, time taken to travel 441 miles apart

Time =
`(\textrm Distance)/(\textrm relative speed)`

Time=
`(441)/(98) = 4.5 hours`

∴ Times taken to travel 441 miles apart is 4.5 hours