Ethan and Luis started jogging from the same point. Luis started jogging 9 minutes earlier than Ethan. Ethan's jogging speed was 350 m/min and Luis'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 Ethan to catch up with Luis? 
2. What distance would Luis have jogged when Ethan caught up with him?  Express your answer in meters.

	Ethan	Luis
Speed	350 m/min	300 m/min
Start time		9 min earlier
Extra distance covered at first		2700 m

(a)
Distance that Luis covered when he jogged 9 minutes earlier
= 9 x 300
= 2700 m

Distance that Ethan covered more than Luis per min
= 350 - 300
= 50 m

Time that Ethan needed to take to cover the additional 2700 m
= 2700 ÷ 50
= 54 min

(b)
Time that Luis would had jogged when Ethan caught up with him
= 54 + 9
= 63 min

Distance that Luis would have jogged when Ethan caught up with him
= 63 x 300
= 18900 m

Answer(s): (a) 54 min; (b) 18900 m