Billy and David started jogging from the same point. David started jogging 6 minutes earlier than Billy. Billy's jogging speed was 300 m/min and David's jogging speed was 250 m/min. They went in the same direction and did not change their speeds throughout.

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

	Billy	David
Speed	300 m/min	250 m/min
Start time		6 min earlier
Extra distance covered at first		1500 m

(a)
Distance that David covered when he jogged 6 minutes earlier
= 6 x 250
= 1500 m

Distance that Billy covered more than David per min
= 300 - 250
= 50 m

Time that Billy needed to take to cover the additional 1500 m
= 1500 ÷ 50
= 30 min

(b)
Time that David would had jogged when Billy caught up with him
= 30 + 6
= 36 min

Distance that David would have jogged when Billy caught up with him
= 36 x 250
= 9000 m

Answer(s): (a) 30 min; (b) 9000 m