Tim and Brandon started jogging from the same point. Brandon started jogging 10 minutes earlier than Tim. Tim's jogging speed was 450 m/min and Brandon's jogging speed was 350 m/min. They went in the same direction and did not change their speeds throughout.

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

	Tim	Brandon
Speed	450 m/min	350 m/min
Start time		10 min earlier
Extra distance covered at first		3500 m

(a)
Distance that Brandon covered when he jogged 10 minutes earlier
= 10 x 350
= 3500 m

Distance that Tim covered more than Brandon per min
= 450 - 350
= 100 m

Time that Tim needed to take to cover the additional 3500 m
= 3500 ÷ 100
= 35 min

(b)
Time that Brandon would had jogged when Tim caught up with him
= 35 + 10
= 45 min

Distance that Brandon would have jogged when Tim caught up with him
= 45 x 350
= 15750 m

Answer(s): (a) 35 min; (b) 15750 m