Sean and Luke started jogging from the same point. Luke started jogging 2 minutes earlier than Sean. Sean's jogging speed was 500 m/min and Luke's jogging speed was 250 m/min. They went in the same direction and did not change their speeds throughout.

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

	Sean	Luke
Speed	500 m/min	250 m/min
Start time		2 min earlier
Extra distance covered at first		500 m

(a)
Distance that Luke covered when he jogged 2 minutes earlier
= 2 x 250
= 500 m

Distance that Sean covered more than Luke per min
= 500 - 250
= 250 m

Time that Sean needed to take to cover the additional 500 m
= 500 ÷ 250
= 2 min

(b)
Time that Luke would had jogged when Sean caught up with him
= 2 + 2
= 4 min

Distance that Luke would have jogged when Sean caught up with him
= 4 x 250
= 1000 m

Answer(s): (a) 2 min; (b) 1000 m