John and Sam started jogging from the same point. Sam started jogging 6 minutes earlier than John. John's jogging speed was 300 m/min and Sam's jogging speed was 200 m/min. They went in the same direction and did not change their speeds throughout.

1. How long did it take for John to catch up with Sam? 
2. What distance would Sam have jogged when John caught up with him?  Express your answer in meters.

	John	Sam
Speed	300 m/min	200 m/min
Start time		6 min earlier
Extra distance covered at first		1200 m

(a)
Distance that Sam covered when he jogged 6 minutes earlier
= 6 x 200
= 1200 m

Distance that John covered more than Sam per min
= 300 - 200
= 100 m

Time that John needed to take to cover the additional 1200 m
= 1200 ÷ 100
= 12 min

(b)
Time that Sam would had jogged when John caught up with him
= 12 + 6
= 18 min

Distance that Sam would have jogged when John caught up with him
= 18 x 200
= 3600 m

Answer(s): (a) 12 min; (b) 3600 m