Question 1105040: Ben and Peter start off together on a 20 km hike. Ben walks 4 times as fast as Peter, and when he comes to the end of the hike he turns around and walks back to meet Peter. How far, in km, has Peter walked when they met?
Answer by leslielai89(5)   (Show Source):
You can put this solution on YOUR website! Let x be the distance that Peter has walked when he meet Ben.
Total distance of Peter = x
Ben walked 4 times as fast as Peter, that means Ben has walked 4 times as much as Peter
Total distance of Ben = 4x
At the same time, Ben has walked 20 km hike and walk back to meet Peter which distance is 20-x km
Total distance of Ben = 20 + 20-x
With this information, we know that
4x = 20 + (20-x) ..... by comparing Ben's total distance
4x+x = 40
5x = 40
x = 8
Therefore, Peter has walked 8km when they met
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