SOLUTION: 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

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
RELATED QUESTIONS
Ben and Peter start off together on a 20 km hike. Ben walks 4 times as fast as Peter, and (answered by josmiceli,ikleyn)

Ben and Peter start off together on a 20km hike. Ben walks 4 times as fast as Peter, and... (answered by ikleyn)

Ben and Peter start off together on a 18 km hike. Ben walks 3 times as fast as Peter, and (answered by ikleyn)

Ben and Peter start off together on a 24 km hike. Ben walks twice as fast as Peter, and... (answered by ikleyn)

Triplets Peter, Reeta and Nikita have two ways for getting home from school each day:... (answered by CPhill,ikleyn)

Hans and Peter form a team together. Hans is as old as Peter will be when Hans is twice... (answered by Edwin McCravy)

When Ben set off his journey from Grand city to Central City at an average speed of 67... (answered by ikleyn)

1) Ben bought five ice-cream cones and received $1.75 change from his $10 note. How much... (answered by MR. PICKLES)

peter can finish a task 8 hours, and Sam can finish the same task twice as fast as Peter. (answered by math_tutor2020,ikleyn,josgarithmetic)