Xavier and Rael started jogging from the same point. Rael started jogging 6 minutes earlier than Xavier. Xavier's jogging speed was 450 m/min and Rael's jogging speed was 350 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 Rael? 
2. What distance would Rael have jogged when Xavier caught up with him?  Express your answer in meters.

	Xavier	Rael
Speed	450 m/min	350 m/min
Start time		6 min earlier
Extra distance covered at first		2100 m

(a)
Distance that Rael covered when he jogged 6 minutes earlier
= 6 x 350
= 2100 m

Distance that Xavier covered more than Rael per min
= 450 - 350
= 100 m

Time that Xavier needed to take to cover the additional 2100 m
= 2100 ÷ 100
= 21 min

(b)
Time that Rael would had jogged when Xavier caught up with him
= 21 + 6
= 27 min

Distance that Rael would have jogged when Xavier caught up with him
= 27 x 350
= 9450 m

Answer(s): (a) 21 min; (b) 9450 m