SOLUTION: A train leaves a city heading west and travels at 50 miles per hour. Three hours later, a second train leaves from the same place and travels in the same direction at 65 miles per
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Question 128001: A train leaves a city heading west and travels at 50 miles per hour. Three hours later, a second train leaves from the same place and travels in the same direction at 65 miles per hour. How long will it take for the second train to overtake the first train?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
I put a stopwatch on the 2 trains, but I wait until the moment
the 2nd train leaves. How far has the 1st train gone at that
point? miles
Let = elapsed time starting when 2nd train leaves
Let = distance the 1st train has to travel to the point
where they meet
Then is the distance the 2nd train has to travel
to get to their meeting point
Substitute in the 1st equation for in the 2nd
hrs
It will take the 2nd train 10 hours to overtake the 1st train
check:
-------------------
mi
-------------------
mi
OK
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