Luke and Julian started jogging from the same point. Julian started jogging 7 minutes earlier than Luke. Luke's jogging speed was 500 m/min and Julian's jogging speed was 150 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 Julian? 
2. What distance would Julian have jogged when Luke caught up with him?  Express your answer in meters.

	Luke	Julian
Speed	500 m/min	150 m/min
Start time		7 min earlier
Extra distance covered at first		1050 m

(a)
Distance that Julian covered when he jogged 7 minutes earlier
= 7 x 150
= 1050 m

Distance that Luke covered more than Julian per min
= 500 - 150
= 350 m

Time that Luke needed to take to cover the additional 1050 m
= 1050 ÷ 350
= 3 min

(b)
Time that Julian would had jogged when Luke caught up with him
= 3 + 7
= 10 min

Distance that Julian would have jogged when Luke caught up with him
= 10 x 150
= 1500 m

Answer(s): (a) 3 min; (b) 1500 m