Riordan and Archie started jogging from the same point. Archie started jogging 10 minutes earlier than Riordan. Riordan's jogging speed was 400 m/min and Archie'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 Riordan to catch up with Archie? 
2. What distance would Archie have jogged when Riordan caught up with him?  Express your answer in meters.

	Riordan	Archie
Speed	400 m/min	300 m/min
Start time		10 min earlier
Extra distance covered at first		3000 m

(a)
Distance that Archie covered when he jogged 10 minutes earlier
= 10 x 300
= 3000 m

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

Time that Riordan needed to take to cover the additional 3000 m
= 3000 ÷ 100
= 30 min

(b)
Time that Archie would had jogged when Riordan caught up with him
= 30 + 10
= 40 min

Distance that Archie would have jogged when Riordan caught up with him
= 40 x 300
= 12000 m

Answer(s): (a) 30 min; (b) 12000 m