Luke and Gabriel started jogging from the same point. Gabriel started jogging 2 minutes earlier than Luke. Luke's jogging speed was 300 m/min and Gabriel's jogging speed was 100 m/min. They went in the same direction and did not change their speeds throughout.

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

	Luke	Gabriel
Speed	300 m/min	100 m/min
Start time		2 min earlier
Extra distance covered at first		200 m

(a)
Distance that Gabriel covered when he jogged 2 minutes earlier
= 2 x 100
= 200 m

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

Time that Luke needed to take to cover the additional 200 m
= 200 ÷ 200
= 1 min

(b)
Time that Gabriel would had jogged when Luke caught up with him
= 1 + 2
= 3 min

Distance that Gabriel would have jogged when Luke caught up with him
= 3 x 100
= 300 m

Answer(s): (a) 1 min; (b) 300 m