Brandon and Simon started jogging from the same point. Simon started jogging 3 minutes earlier than Brandon. Brandon's jogging speed was 400 m/min and Simon's jogging speed was 200 m/min. They went in the same direction and did not change their speeds throughout.
- How long did it take for Brandon to catch up with Simon?
- What distance would Simon have jogged when Brandon caught up with him? Express your answer in meters.
|
Brandon |
Simon |
Speed |
400 m/min |
200 m/min |
Start time |
|
3 min earlier |
Extra distance covered at first |
|
600 m |
(a)
Distance that Simon covered when he jogged 3 minutes earlier
= 3 x 200
= 600 m
Distance that Brandon covered more than Simon per min
= 400 - 200
= 200 m
Time that Brandon needed to take to cover the additional 600 m
= 600 ÷ 200
= 3 min
(b)
Time that Simon would had jogged when Brandon caught up with him
= 3 + 3
= 6 min
Distance that Simon would have jogged when Brandon caught up with him
= 6 x 200
= 1200 m
Answer(s): (a) 3 min; (b) 1200 m