Luke and Rael started jogging from the same point. Rael started jogging 7 minutes earlier than Luke. Luke's jogging speed was 400 m/min and Rael'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 Luke to catch up with Rael? 
2. What distance would Rael have jogged when Luke caught up with him?  Express your answer in meters.

	Luke	Rael
Speed	400 m/min	300 m/min
Start time		7 min earlier
Extra distance covered at first		2100 m

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

Distance that Luke covered more than Rael per min
= 400 - 300
= 100 m

Time that Luke needed to take to cover the additional 2100 m
= 2100 ÷ 100
= 21 min

(b)
Time that Rael would had jogged when Luke caught up with him
= 21 + 7
= 28 min

Distance that Rael would have jogged when Luke caught up with him
= 28 x 300
= 8400 m

Answer(s): (a) 21 min; (b) 8400 m