Luke and Cole started jogging from the same point. Cole started jogging 2 minutes earlier than Luke. Luke's jogging speed was 350 m/min and Cole'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 Luke to catch up with Cole? 
2. What distance would Cole have jogged when Luke caught up with him?  Express your answer in meters.

	Luke	Cole
Speed	350 m/min	250 m/min
Start time		2 min earlier
Extra distance covered at first		500 m

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

Distance that Luke covered more than Cole per min
= 350 - 250
= 100 m

Time that Luke needed to take to cover the additional 500 m
= 500 ÷ 100
= 5 min

(b)
Time that Cole would had jogged when Luke caught up with him
= 5 + 2
= 7 min

Distance that Cole would have jogged when Luke caught up with him
= 7 x 250
= 1750 m

Answer(s): (a) 5 min; (b) 1750 m