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 apartCan someone please explain how to do this problem?
Accepted Solution
A:
Answer:4.5 hoursStep-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 apartTime = [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