perplexus.info :: General : Circular Jogging Track Problem 2

Circular Jogging Track Problem 2 (Posted on 2006-04-13)

Three friends A, B and C regularly jog in a 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. All of them setout from a same point but C runs in the opposite direction from starting point.

Another friend D joins this run. D normally takes 13 mins and 20 secs to complete one lap. He decides to run in the same direction as C but from a point 600 m ahead of C in his jogging direction. When will they all meet each other on the circular track & where?

Submitted by Salil

Rating: 3.0000 (1 votes)

Solution: (Hide)

By calculating time taken using differential speed every 32 mins A & B meet & every 4.8 mins A & C meet. The LCM of the two is 96 mins.So A, B & C meet every 96 mins. A & D meet every 5 minutes but since D starts at a distance of 400m from A. The time A & D meet are 5x +2 mins. Hence fastest time A, B, C & D meet is 192mins.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
Explanation to Puzzle Answer	K Sengupta	2022-05-23 22:29:37
Puzzle Answer	K Sengupta	2022-05-19 00:20:33
re(2): solution	Charlie	2006-04-14 09:18:56
re(2): solution	Jer	2006-04-14 07:41:47
circular jogging track	hugh	2006-04-14 04:52:00
re: solution	Kevin	2006-04-13 15:46:47
solution	Charlie	2006-04-13 14:59:38
Solution, no explanation	Jer	2006-04-13 14:10:13

Please log in:

Login:
Password:
Remember me:

Sign up! \| Forgot password

Search:

Search body:

Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (3)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info