Sam and Billy started jogging from the same point. Billy started jogging 10 minutes earlier than Sam. Sam's jogging speed was 300 m/min and Billy'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 Sam to catch up with Billy? 
2. What distance would Billy have jogged when Sam caught up with him?  Express your answer in meters.

	Sam	Billy
Speed	300 m/min	100 m/min
Start time		10 min earlier
Extra distance covered at first		1000 m

(a)
Distance that Billy covered when he jogged 10 minutes earlier
= 10 x 100
= 1000 m

Distance that Sam covered more than Billy per min
= 300 - 100
= 200 m

Time that Sam needed to take to cover the additional 1000 m
= 1000 ÷ 200
= 5 min

(b)
Time that Billy would had jogged when Sam caught up with him
= 5 + 10
= 15 min

Distance that Billy would have jogged when Sam caught up with him
= 15 x 100
= 1500 m

Answer(s): (a) 5 min; (b) 1500 m