Bryan and George started jogging from the same point. George started jogging 2 minutes earlier than Bryan. Bryan's jogging speed was 400 m/min and George's jogging speed was 300 m/min. They went in the same direction and did not change their speeds throughout.
- How long did it take for Bryan to catch up with George?
- What distance would George have jogged when Bryan caught up with him? Express your answer in meters.
|
Bryan |
George |
Speed |
400 m/min |
300 m/min |
Start time |
|
2 min earlier |
Extra distance covered at first |
|
600 m |
(a)
Distance that George covered when he jogged 2 minutes earlier
= 2 x 300
= 600 m
Distance that Bryan covered more than George per min
= 400 - 300
= 100 m
Time that Bryan needed to take to cover the additional 600 m
= 600 ÷ 100
= 6 min
(b)
Time that George would had jogged when Bryan caught up with him
= 6 + 2
= 8 min
Distance that George would have jogged when Bryan caught up with him
= 8 x 300
= 2400 m
Answer(s): (a) 6 min; (b) 2400 m