George and Luke started jogging from the same point. Luke started jogging 6 minutes earlier than George. George's jogging speed was 400 m/min and Luke's jogging speed was 350 m/min. They went in the same direction and did not change their speeds throughout.

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

	George	Luke
Speed	400 m/min	350 m/min
Start time		6 min earlier
Extra distance covered at first		2100 m

(a)
Distance that Luke covered when he jogged 6 minutes earlier
= 6 x 350
= 2100 m

Distance that George covered more than Luke per min
= 400 - 350
= 50 m

Time that George needed to take to cover the additional 2100 m
= 2100 ÷ 50
= 42 min

(b)
Time that Luke would had jogged when George caught up with him
= 42 + 6
= 48 min

Distance that Luke would have jogged when George caught up with him
= 48 x 350
= 16800 m

Answer(s): (a) 42 min; (b) 16800 m