SOLUTION: Robinson cycles 2 kms to station.Takes a train for 2/3 of trip and a bus for remaining quarter .How long was his complete journey?

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Question 1138224: Robinson cycles 2 kms to station.Takes a train for 2/3 of trip and a bus for remaining quarter .How long was his complete journey?
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
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Let x be the total distance (the value under the question).


Then you have this equation


    2 kilometers + %282%2F3%29x + %281%2F4%29x = x


To solve it, multiply both sides by 3*4 = 12.  You will get


    2*12 + 8x + 3x = 12x.


Simplify and solve for x :


    24 + 11x = 12x

    24 = 12x - 11x

    24 =   x


ANSWER.  The total distance is 24 kilometers.

Solved.