SOLUTION: two persons travel in opposite directions on a circular track whose length is 1k. person A runs at 7km per hour while person B walks at 2km per hour. If they both start at the same

Question 697815: two persons travel in opposite directions on a circular track whose length is 1k. person A runs at 7km per hour while person B walks at 2km per hour. If they both start at the same point, how many times will they pass each other before they again meet at their original starting point?
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
The runner and the walker will meet again at their original starting point after 1 hour.
At that time the runner will have completed 7 turns and the walker would have completed 2 turns.
The walker completes one turn and is passing by the starting point after 0.5 hour, but at that time the runner has gone 3.5 turns and is on the opposite side of the track.
The first time they pass each other, the walker has gone a short distance around the track, while the runner has covered the rest of the distance around the track.
Between the two of them they have covered the whole track 1 time (1 km total distance).
The second time they pass each other, they have covered the whole track twice (2 km total distance).
The nth time they pass each other, between the two of them, they have covered turns (a distance of km).
In hours, the runner covers km.
In hours, the walker covers km.
In hours, between the two of them, they cover
km.
When they meet for the nth time,

At hour, --> they are meeting for the 9th time at their starting point.
Before that, they had met times, at different points around the track.
RELATED QUESTIONS
Two people travel by car in opposite directions. After two hours they are 206 miles... (answered by JulietG)

Chris and Pat exercise together by running in opposite directions around a 108m circular... (answered by Boreal)

Lisa and Andy start walking around a circular track from the same spot, but going in... (answered by ikleyn,ankor@dixie-net.com)

Chris and Pat exercise together by running opposite directions around a 108m circular... (answered by ikleyn)

two men starting at a point on a 1-mile circular race track walk in opposite directions... (answered by edjones)

Two marathon runners leave the same point at the same time and travel in opposite... (answered by sachi)

Two persons travel on an East-West highway to two cities in the opposite directions. The (answered by mananth,stanbon)

two cars start from the same place and travel in opposite directions. One runs at an... (answered by stanbon)

Starting at the same spot on a circular track that is 80 meters in diameter, Hillary and (answered by ikleyn)