Luis and Ethan started jogging from the same point. Ethan started jogging 2 minutes earlier than Luis. Luis's jogging speed was 200 m/min and Ethan'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 Luis to catch up with Ethan? 
2. What distance would Ethan have jogged when Luis caught up with him?  Express your answer in meters.

	Luis	Ethan
Speed	200 m/min	150 m/min
Start time		2 min earlier
Extra distance covered at first		300 m

(a)
Distance that Ethan covered when he jogged 2 minutes earlier
= 2 x 150
= 300 m

Distance that Luis covered more than Ethan per min
= 200 - 150
= 50 m

Time that Luis needed to take to cover the additional 300 m
= 300 ÷ 50
= 6 min

(b)
Time that Ethan would had jogged when Luis caught up with him
= 6 + 2
= 8 min

Distance that Ethan would have jogged when Luis caught up with him
= 8 x 150
= 1200 m

Answer(s): (a) 6 min; (b) 1200 m