Xavier and Luke started jogging from the same point. Luke started jogging 3 minutes earlier than Xavier. Xavier's jogging speed was 300 m/min and Luke'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 Xavier to catch up with Luke? 
2. What distance would Luke have jogged when Xavier caught up with him?  Express your answer in meters.

	Xavier	Luke
Speed	300 m/min	200 m/min
Start time		3 min earlier
Extra distance covered at first		600 m

(a)
Distance that Luke covered when he jogged 3 minutes earlier
= 3 x 200
= 600 m

Distance that Xavier covered more than Luke per min
= 300 - 200
= 100 m

Time that Xavier needed to take to cover the additional 600 m
= 600 ÷ 100
= 6 min

(b)
Time that Luke would had jogged when Xavier caught up with him
= 6 + 3
= 9 min

Distance that Luke would have jogged when Xavier caught up with him
= 9 x 200
= 1800 m

Answer(s): (a) 6 min; (b) 1800 m