Xavier and Simon started jogging from the same point. Simon started jogging 3 minutes earlier than Xavier. Xavier's jogging speed was 400 m/min and Simon's jogging speed was 300 m/min. They went in the same direction and did not change their speeds throughout.

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

	Xavier	Simon
Speed	400 m/min	300 m/min
Start time		3 min earlier
Extra distance covered at first		900 m

(a)
Distance that Simon covered when he jogged 3 minutes earlier
= 3 x 300
= 900 m

Distance that Xavier covered more than Simon per min
= 400 - 300
= 100 m

Time that Xavier needed to take to cover the additional 900 m
= 900 ÷ 100
= 9 min

(b)
Time that Simon would had jogged when Xavier caught up with him
= 9 + 3
= 12 min

Distance that Simon would have jogged when Xavier caught up with him
= 12 x 300
= 3600 m

Answer(s): (a) 9 min; (b) 3600 m