Luke and Bryan started jogging from the same point. Bryan started jogging 6 minutes earlier than Luke. Luke's jogging speed was 500 m/min and Bryan'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 Bryan? 
2. What distance would Bryan have jogged when Luke caught up with him?  Express your answer in meters.

	Luke	Bryan
Speed	500 m/min	250 m/min
Start time		6 min earlier
Extra distance covered at first		1500 m

(a)
Distance that Bryan covered when he jogged 6 minutes earlier
= 6 x 250
= 1500 m

Distance that Luke covered more than Bryan per min
= 500 - 250
= 250 m

Time that Luke needed to take to cover the additional 1500 m
= 1500 ÷ 250
= 6 min

(b)
Time that Bryan would had jogged when Luke caught up with him
= 6 + 6
= 12 min

Distance that Bryan would have jogged when Luke caught up with him
= 12 x 250
= 3000 m

Answer(s): (a) 6 min; (b) 3000 m