Ken and Rael started jogging from the same point. Rael started jogging 7 minutes earlier than Ken. Ken's jogging speed was 500 m/min and Rael'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 Ken to catch up with Rael? 
2. What distance would Rael have jogged when Ken caught up with him?  Express your answer in meters.

	Ken	Rael
Speed	500 m/min	150 m/min
Start time		7 min earlier
Extra distance covered at first		1050 m

(a)
Distance that Rael covered when he jogged 7 minutes earlier
= 7 x 150
= 1050 m

Distance that Ken covered more than Rael per min
= 500 - 150
= 350 m

Time that Ken needed to take to cover the additional 1050 m
= 1050 ÷ 350
= 3 min

(b)
Time that Rael would had jogged when Ken caught up with him
= 3 + 7
= 10 min

Distance that Rael would have jogged when Ken caught up with him
= 10 x 150
= 1500 m

Answer(s): (a) 3 min; (b) 1500 m