Justin and Luke started jogging from the same point. Luke started jogging 9 minutes earlier than Justin. Justin's jogging speed was 200 m/min and Luke's jogging speed was 150 m/min. They went in the same direction and did not change their speeds throughout.

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

	Justin	Luke
Speed	200 m/min	150 m/min
Start time		9 min earlier
Extra distance covered at first		1350 m

(a)
Distance that Luke covered when he jogged 9 minutes earlier
= 9 x 150
= 1350 m

Distance that Justin covered more than Luke per min
= 200 - 150
= 50 m

Time that Justin needed to take to cover the additional 1350 m
= 1350 ÷ 50
= 27 min

(b)
Time that Luke would had jogged when Justin caught up with him
= 27 + 9
= 36 min

Distance that Luke would have jogged when Justin caught up with him
= 36 x 150
= 5400 m

Answer(s): (a) 27 min; (b) 5400 m