Liam and Daniel started jogging from the same point. Daniel started jogging 9 minutes earlier than Liam. Liam's jogging speed was 200 m/min and Daniel'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 Liam to catch up with Daniel? 
2. What distance would Daniel have jogged when Liam caught up with him?  Express your answer in meters.

	Liam	Daniel
Speed	200 m/min	150 m/min
Start time		9 min earlier
Extra distance covered at first		1350 m

(a)
Distance that Daniel covered when he jogged 9 minutes earlier
= 9 x 150
= 1350 m

Distance that Liam covered more than Daniel per min
= 200 - 150
= 50 m

Time that Liam needed to take to cover the additional 1350 m
= 1350 ÷ 50
= 27 min

(b)
Time that Daniel would had jogged when Liam caught up with him
= 27 + 9
= 36 min

Distance that Daniel would have jogged when Liam caught up with him
= 36 x 150
= 5400 m

Answer(s): (a) 27 min; (b) 5400 m