Bobby and Archie started jogging from the same point. Archie started jogging 10 minutes earlier than Bobby. Bobby's jogging speed was 450 m/min and Archie's jogging speed was 200 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 Archie? 
2. What distance would Archie have jogged when Bobby caught up with him?  Express your answer in meters.

	Bobby	Archie
Speed	450 m/min	200 m/min
Start time		10 min earlier
Extra distance covered at first		2000 m

(a)
Distance that Archie covered when he jogged 10 minutes earlier
= 10 x 200
= 2000 m

Distance that Bobby covered more than Archie per min
= 450 - 200
= 250 m

Time that Bobby needed to take to cover the additional 2000 m
= 2000 ÷ 250
= 8 min

(b)
Time that Archie would had jogged when Bobby caught up with him
= 8 + 10
= 18 min

Distance that Archie would have jogged when Bobby caught up with him
= 18 x 200
= 3600 m

Answer(s): (a) 8 min; (b) 3600 m