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

	Bobby	Justin
Speed	500 m/min	300 m/min
Start time		6 min earlier
Extra distance covered at first		1800 m

(a)
Distance that Justin covered when he jogged 6 minutes earlier
= 6 x 300
= 1800 m

Distance that Bobby covered more than Justin per min
= 500 - 300
= 200 m

Time that Bobby needed to take to cover the additional 1800 m
= 1800 ÷ 200
= 9 min

(b)
Time that Justin would had jogged when Bobby caught up with him
= 9 + 6
= 15 min

Distance that Justin would have jogged when Bobby caught up with him
= 15 x 300
= 4500 m

Answer(s): (a) 9 min; (b) 4500 m