Ryan and David started jogging from the same point. David started jogging 6 minutes earlier than Ryan. Ryan's jogging speed was 400 m/min and David'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 Ryan to catch up with David? 
2. What distance would David have jogged when Ryan caught up with him?  Express your answer in meters.

	Ryan	David
Speed	400 m/min	100 m/min
Start time		6 min earlier
Extra distance covered at first		600 m

(a)
Distance that David covered when he jogged 6 minutes earlier
= 6 x 100
= 600 m

Distance that Ryan covered more than David per min
= 400 - 100
= 300 m

Time that Ryan needed to take to cover the additional 600 m
= 600 ÷ 300
= 2 min

(b)
Time that David would had jogged when Ryan caught up with him
= 2 + 6
= 8 min

Distance that David would have jogged when Ryan caught up with him
= 8 x 100
= 800 m

Answer(s): (a) 2 min; (b) 800 m