SOLUTION: A train leaves Station X and travels east at 30 km/h. Two hours later, another train leaves the same station and travels in the same direction on a parallel tract at 45 km/h. At wh

Question 1171125: A train leaves Station X and travels east at 30 km/h. Two hours later, another train leaves the same station and travels in the same direction on a parallel tract at 45 km/h. At what point will the faster train overtake the slower train?

Answer by ikleyn(52790) (Show Source): You can put this solution on YOUR website!
.


Let d be the distance from the starting point to the overtaking point 
(exactly the unknown value under the question).


For the first train, the travel time is    hours.

For the second train, the travel time is    hours.


The difference is 2 hours, according to the condition


     -  = 2  hours.


You got your basic equation to find the unknown distance d.


To solve the equation, multiply both sides by 90.  You will get


    3d - 2d = 180

       d    = 180.


ANSWER.  The overtaking point is in 180 miles from the station X.

Solved.

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