Archie and Fred started jogging from the same point. Fred started jogging 4 minutes earlier than Archie. Archie's jogging speed was 400 m/min and Fred'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 Archie to catch up with Fred? 
2. What distance would Fred have jogged when Archie caught up with him?  Express your answer in meters.

	Archie	Fred
Speed	400 m/min	300 m/min
Start time		4 min earlier
Extra distance covered at first		1200 m

(a)
Distance that Fred covered when he jogged 4 minutes earlier
= 4 x 300
= 1200 m

Distance that Archie covered more than Fred per min
= 400 - 300
= 100 m

Time that Archie needed to take to cover the additional 1200 m
= 1200 ÷ 100
= 12 min

(b)
Time that Fred would had jogged when Archie caught up with him
= 12 + 4
= 16 min

Distance that Fred would have jogged when Archie caught up with him
= 16 x 300
= 4800 m

Answer(s): (a) 12 min; (b) 4800 m