Valen and Xavier started jogging from the same point. Xavier started jogging 3 minutes earlier than Valen. Valen's jogging speed was 300 m/min and Xavier's jogging speed was 150 m/min. They went in the same direction and did not change their speeds throughout.

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

	Valen	Xavier
Speed	300 m/min	150 m/min
Start time		3 min earlier
Extra distance covered at first		450 m

(a)
Distance that Xavier covered when he jogged 3 minutes earlier
= 3 x 150
= 450 m

Distance that Valen covered more than Xavier per min
= 300 - 150
= 150 m

Time that Valen needed to take to cover the additional 450 m
= 450 ÷ 150
= 3 min

(b)
Time that Xavier would had jogged when Valen caught up with him
= 3 + 3
= 6 min

Distance that Xavier would have jogged when Valen caught up with him
= 6 x 150
= 900 m

Answer(s): (a) 3 min; (b) 900 m