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

	Luke	John
Speed	300 m/min	250 m/min
Start time		10 min earlier
Extra distance covered at first		2500 m

(a)
Distance that John covered when he jogged 10 minutes earlier
= 10 x 250
= 2500 m

Distance that Luke covered more than John per min
= 300 - 250
= 50 m

Time that Luke needed to take to cover the additional 2500 m
= 2500 ÷ 50
= 50 min

(b)
Time that John would had jogged when Luke caught up with him
= 50 + 10
= 60 min

Distance that John would have jogged when Luke caught up with him
= 60 x 250
= 15000 m

Answer(s): (a) 50 min; (b) 15000 m