Zane, Cole and Ryan started walking at the same time from the same starting point round a circular track. Ryan walked in the clockwise direction. Zane and Cole walked in an anti-clockwise direction. Ryan took 6 min to complete each round. He met Zane after every 2 minutes. He met Cole after every 4 minutes. The three friends kept to their respective speeds throughout their walk.

1. How many rounds did Ryan complete in 1 h?
2. When Ryan and Zane met again at the starting point after 1 h, Cole had completed 2.2 km. Find the circumference of the circular track in metres.

(a)
1 h = 60 min

Number of rounds that Ryan completed in 1 h
= 60 ÷ 6
= 10

(b)
Ryan took 6 min to complete 1 round
1 min = ¹₆ of circular track = 1 u
6 min = ⁶₆ of circular track = 6 u

Ryan's distance is the repeated identity.
Make Ryan's distance the same.

Ryan's distance : Zane's distance
2 : 6 - 2
2 : 4

Ryan's distance : Cole's distance
4 : 6 - 4
4 : 2

Ryan	Zane	Cole
2x2	4x2
4x1		2x1
4	8	2

The distance of Ryan is the repeated identity. 
LCM of 2 and 4 = 4

In 1 h
Ryan's rounds : Zane's rounds : Cole's rounds
4 : 8 : 2

Distance that Cole completed in 1 h = 2.2 km

2 rounds = 2.2 km = 2200 m

1 round = 2200 ÷ 2 = 1100 m

Circumference of the circular track = 1100 m

Answer(s): (a) 10; (b) 1100 m