Reggie and Archie started jogging from the same point. Archie started jogging 2 minutes earlier than Reggie. Reggie's jogging speed was 300 m/min and Archie's jogging speed was 100 m/min. They went in the same direction and did not change their speeds throughout.

1. How long did it take for Reggie to catch up with Archie? 
2. What distance would Archie have jogged when Reggie caught up with him?  Express your answer in meters.

	Reggie	Archie
Speed	300 m/min	100 m/min
Start time		2 min earlier
Extra distance covered at first		200 m

(a)
Distance that Archie covered when he jogged 2 minutes earlier
= 2 x 100
= 200 m

Distance that Reggie covered more than Archie per min
= 300 - 100
= 200 m

Time that Reggie needed to take to cover the additional 200 m
= 200 ÷ 200
= 1 min

(b)
Time that Archie would had jogged when Reggie caught up with him
= 1 + 2
= 3 min

Distance that Archie would have jogged when Reggie caught up with him
= 3 x 100
= 300 m

Answer(s): (a) 1 min; (b) 300 m