Luke and Liam started jogging from the same point. Liam started jogging 2 minutes earlier than Luke. Luke's jogging speed was 450 m/min and Liam'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 Luke to catch up with Liam? 
2. What distance would Liam have jogged when Luke caught up with him?  Express your answer in meters.

	Luke	Liam
Speed	450 m/min	350 m/min
Start time		2 min earlier
Extra distance covered at first		700 m

(a)
Distance that Liam covered when he jogged 2 minutes earlier
= 2 x 350
= 700 m

Distance that Luke covered more than Liam per min
= 450 - 350
= 100 m

Time that Luke needed to take to cover the additional 700 m
= 700 ÷ 100
= 7 min

(b)
Time that Liam would had jogged when Luke caught up with him
= 7 + 2
= 9 min

Distance that Liam would have jogged when Luke caught up with him
= 9 x 350
= 3150 m

Answer(s): (a) 7 min; (b) 3150 m