Bryan and Sam started jogging from the same point. Sam started jogging 6 minutes earlier than Bryan. Bryan's jogging speed was 200 m/min and Sam's jogging speed was 150 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 Sam?
- What distance would Sam have jogged when Bryan caught up with him? Express your answer in meters.
|
Bryan |
Sam |
Speed |
200 m/min |
150 m/min |
Start time |
|
6 min earlier |
Extra distance covered at first |
|
900 m |
(a)
Distance that Sam covered when he jogged 6 minutes earlier
= 6 x 150
= 900 m
Distance that Bryan covered more than Sam per min
= 200 - 150
= 50 m
Time that Bryan needed to take to cover the additional 900 m
= 900 ÷ 50
= 18 min
(b)
Time that Sam would had jogged when Bryan caught up with him
= 18 + 6
= 24 min
Distance that Sam would have jogged when Bryan caught up with him
= 24 x 150
= 3600 m
Answer(s): (a) 18 min; (b) 3600 m