Archie and Caden started jogging from the same point. Caden started jogging 5 minutes earlier than Archie. Archie's jogging speed was 250 m/min and Caden'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 Archie to catch up with Caden? 
2. What distance would Caden have jogged when Archie caught up with him?  Express your answer in meters.

	Archie	Caden
Speed	250 m/min	200 m/min
Start time		5 min earlier
Extra distance covered at first		1000 m

(a)
Distance that Caden covered when he jogged 5 minutes earlier
= 5 x 200
= 1000 m

Distance that Archie covered more than Caden per min
= 250 - 200
= 50 m

Time that Archie needed to take to cover the additional 1000 m
= 1000 ÷ 50
= 20 min

(b)
Time that Caden would had jogged when Archie caught up with him
= 20 + 5
= 25 min

Distance that Caden would have jogged when Archie caught up with him
= 25 x 200
= 5000 m

Answer(s): (a) 20 min; (b) 5000 m