SOLUTION: 4.a cyclist goes from one village to another at 28 km/h. he returns at 24 km/h. if the return journey takes two hours longer than the outward outward journey.what is the distance b

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: 4.a cyclist goes from one village to another at 28 km/h. he returns at 24 km/h. if the return journey takes two hours longer than the outward outward journey.what is the distance b      Log On

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Question 388270: 4.a cyclist goes from one village to another at 28 km/h. he returns at 24 km/h. if the return journey takes two hours longer than the outward outward journey.what is the distance between the villages ?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi, 

Let t and (t + 2hr)) represent the times at 28kmph and 24kmph respectively

D = r*t, distances the same at both speeds 



 28kmph*t = 24kmph*(t + 2hr)  

solve for t 

 28kmph*t - 24kmph*t = 48km 

    4kmpht = 48km  

     t = 12hr

   28kmph*12hr = 336km, the distance between the villages  



CHECKING our answer

  28kmph*12hr = 336km = 24kmph*14hr