Three friends A, B and C regularly jog in circular jogging track every morning. The track is 1000 m in circumference.

A takes 8 mins to complete one lap, B takes 10 mins and 40 secs and C takes 12 mins. One day they decided to find out if they set out together in the same direction from a point what would be the fastest time for all of them to meet at any point on the track. What did they conclude?

The second day C decides to run in the opposite direction from the starting point. When will they all meet? Will this be sooner than the time taken on day one? Where do they meet in both cases?

(In reply to re: Wait a minute. by vilnius)

Oh the tangled web we weave.

A runs on the inside lane at the rate of one lap per 8 minutes. A has to tie his shoe in the middle of every lap.

B jogs in lane 3 (her lucky number) and completes a lap in 10 min 40 seconds. She stops and gets a drink every 500 meters.

C walks in lane 5.5 and manages to get around the track in 12 minutes.

However, they never meet since they are in different lanes.

Sorry, I haven't had my caffine this morning.

 

Posted by Leming on 2006-04-13 08:15:05