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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?​

Respuesta :

Answer:

4.5 hours

Step-by-step explanation:

Given: Train running in opposite direction

           Speed of one train ([tex]S_1[/tex])= 35 mph

           Speed of one train ([tex]S_2[/tex])= 63 mph

           Distance to be covered = 441 miles

∵ Train is running in opposite direction, so their relative speed = [tex](S_1 + S_2)[/tex]

Relative speed = [tex](35 + 63) = 98 mph[/tex]

Now, time taken to travel 441 miles apart

Time = [tex]\frac{\textrm Distance}{\textrm relative speed}[/tex]

Time= [tex]\frac{441}{98} = 4.5 hours[/tex]

∴ Times taken to travel 441 miles apart is 4.5 hours

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