Mark and Sam started jogging from the same point. Sam started jogging 9 minutes earlier than Mark. Mark's jogging speed was 500 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 Mark to catch up with Sam? 
2. What distance would Sam have jogged when Mark caught up with him?  Express your answer in meters.

	Mark	Sam
Speed	500 m/min	200 m/min
Start time		9 min earlier
Extra distance covered at first		1800 m

(a)
Distance that Sam covered when he jogged 9 minutes earlier
= 9 x 200
= 1800 m

Distance that Mark covered more than Sam per min
= 500 - 200
= 300 m

Time that Mark needed to take to cover the additional 1800 m
= 1800 ÷ 300
= 6 min

(b)
Time that Sam would had jogged when Mark caught up with him
= 6 + 9
= 15 min

Distance that Sam would have jogged when Mark caught up with him
= 15 x 200
= 3000 m

Answer(s): (a) 6 min; (b) 3000 m