SOLUTION: An express train travels 100kph from Station A to Station B. A local train travelling at 45kph, taken 45 minutes longer for the same trip. How far apart is Station A from Station B

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Question 1175599: An express train travels 100kph from Station A to Station B. A local train travelling at 45kph, taken 45 minutes longer for the same trip. How far apart is Station A from Station B.
Answer by ikleyn(52775) About Me  (Show Source):
You can put this solution on YOUR website!
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Let "d" be this distance.


The "time equation" is


    d%2F45 - d%2F100 = 3%2F4  of an hour  (= 45 minutes).


To solve it, multiply both sides by 900.  You will get


    20d - 9d = 675

      11d    = 675

        d    = 675%2F11 = 61.364.


CHECK.   61.364%2F45+-+61.364%2F100 = 0.75 = 3%2F4  of an hour.  ! Correct !


ANSWER.  The distance is 61.364 km.

Solved.