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

	Tim	Sam
Speed	300 m/min	100 m/min
Start time		2 min earlier
Extra distance covered at first		200 m

(a)
Distance that Sam covered when he jogged 2 minutes earlier
= 2 x 100
= 200 m

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

Time that Tim needed to take to cover the additional 200 m
= 200 ÷ 200
= 1 min

(b)
Time that Sam would had jogged when Tim caught up with him
= 1 + 2
= 3 min

Distance that Sam would have jogged when Tim caught up with him
= 3 x 100
= 300 m

Answer(s): (a) 1 min; (b) 300 m