Ken and John started jogging from the same point. John started jogging 10 minutes earlier than Ken. Ken's jogging speed was 500 m/min and John'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 Ken to catch up with John?
- What distance would John have jogged when Ken caught up with him? Express your answer in meters.
|
Ken |
John |
Speed |
500 m/min |
300 m/min |
Start time |
|
10 min earlier |
Extra distance covered at first |
|
3000 m |
(a)
Distance that John covered when he jogged 10 minutes earlier
= 10 x 300
= 3000 m
Distance that Ken covered more than John per min
= 500 - 300
= 200 m
Time that Ken needed to take to cover the additional 3000 m
= 3000 ÷ 200
= 15 min
(b)
Time that John would had jogged when Ken caught up with him
= 15 + 10
= 25 min
Distance that John would have jogged when Ken caught up with him
= 25 x 300
= 7500 m
Answer(s): (a) 15 min; (b) 7500 m