Bryan and Ken started jogging from the same point. Ken started jogging 9 minutes earlier than Bryan. Bryan's jogging speed was 300 m/min and Ken'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 Ken?
- What distance would Ken have jogged when Bryan caught up with him? Express your answer in meters.
|
Bryan |
Ken |
Speed |
300 m/min |
150 m/min |
Start time |
|
9 min earlier |
Extra distance covered at first |
|
1350 m |
(a)
Distance that Ken covered when he jogged 9 minutes earlier
= 9 x 150
= 1350 m
Distance that Bryan covered more than Ken per min
= 300 - 150
= 150 m
Time that Bryan needed to take to cover the additional 1350 m
= 1350 ÷ 150
= 9 min
(b)
Time that Ken would had jogged when Bryan caught up with him
= 9 + 9
= 18 min
Distance that Ken would have jogged when Bryan caught up with him
= 18 x 150
= 2700 m
Answer(s): (a) 9 min; (b) 2700 m