Bryan and Perry started jogging from the same point. Perry started jogging 2 minutes earlier than Bryan. Bryan's jogging speed was 200 m/min and Perry's jogging speed was 100 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 Perry?
- What distance would Perry have jogged when Bryan caught up with him? Express your answer in meters.
|
Bryan |
Perry |
Speed |
200 m/min |
100 m/min |
Start time |
|
2 min earlier |
Extra distance covered at first |
|
200 m |
(a)
Distance that Perry covered when he jogged 2 minutes earlier
= 2 x 100
= 200 m
Distance that Bryan covered more than Perry per min
= 200 - 100
= 100 m
Time that Bryan needed to take to cover the additional 200 m
= 200 ÷ 100
= 2 min
(b)
Time that Perry would had jogged when Bryan caught up with him
= 2 + 2
= 4 min
Distance that Perry would have jogged when Bryan caught up with him
= 4 x 100
= 400 m
Answer(s): (a) 2 min; (b) 400 m