Luke and Paul started jogging from the same point. Paul started jogging 2 minutes earlier than Luke. Luke's jogging speed was 350 m/min and Paul'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 Luke to catch up with Paul? 
2. What distance would Paul have jogged when Luke caught up with him?  Express your answer in meters.

	Luke	Paul
Speed	350 m/min	250 m/min
Start time		2 min earlier
Extra distance covered at first		500 m

(a)
Distance that Paul covered when he jogged 2 minutes earlier
= 2 x 250
= 500 m

Distance that Luke covered more than Paul per min
= 350 - 250
= 100 m

Time that Luke needed to take to cover the additional 500 m
= 500 ÷ 100
= 5 min

(b)
Time that Paul would had jogged when Luke caught up with him
= 5 + 2
= 7 min

Distance that Paul would have jogged when Luke caught up with him
= 7 x 250
= 1750 m

Answer(s): (a) 5 min; (b) 1750 m