Daniel and Billy started jogging from the same point. Billy started jogging 5 minutes earlier than Daniel. Daniel's jogging speed was 200 m/min and Billy's jogging speed was 100 m/min. They went in the same direction and did not change their speeds throughout.

1. How long did it take for Daniel to catch up with Billy? 
2. What distance would Billy have jogged when Daniel caught up with him?  Express your answer in meters.

	Daniel	Billy
Speed	200 m/min	100 m/min
Start time		5 min earlier
Extra distance covered at first		500 m

(a)
Distance that Billy covered when he jogged 5 minutes earlier
= 5 x 100
= 500 m

Distance that Daniel covered more than Billy per min
= 200 - 100
= 100 m

Time that Daniel needed to take to cover the additional 500 m
= 500 ÷ 100
= 5 min

(b)
Time that Billy would had jogged when Daniel caught up with him
= 5 + 5
= 10 min

Distance that Billy would have jogged when Daniel caught up with him
= 10 x 100
= 1000 m

Answer(s): (a) 5 min; (b) 1000 m