Ken and Luke started jogging from the same point. Luke started jogging 7 minutes earlier than Ken. Ken's jogging speed was 350 m/min and Luke's jogging speed was 300 m/min. They went in the same direction and did not change their speeds throughout.

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

	Ken	Luke
Speed	350 m/min	300 m/min
Start time		7 min earlier
Extra distance covered at first		2100 m

(a)
Distance that Luke covered when he jogged 7 minutes earlier
= 7 x 300
= 2100 m

Distance that Ken covered more than Luke per min
= 350 - 300
= 50 m

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

(b)
Time that Luke would had jogged when Ken caught up with him
= 42 + 7
= 49 min

Distance that Luke would have jogged when Ken caught up with him
= 49 x 300
= 14700 m

Answer(s): (a) 42 min; (b) 14700 m