Paul and Ken started jogging from the same point. Ken started jogging 8 minutes earlier than Paul. Paul's jogging speed was 500 m/min and Ken'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 Paul to catch up with Ken?
- What distance would Ken have jogged when Paul caught up with him? Express your answer in meters.
|
Paul |
Ken |
Speed |
500 m/min |
300 m/min |
Start time |
|
8 min earlier |
Extra distance covered at first |
|
2400 m |
(a)
Distance that Ken covered when he jogged 8 minutes earlier
= 8 x 300
= 2400 m
Distance that Paul covered more than Ken per min
= 500 - 300
= 200 m
Time that Paul needed to take to cover the additional 2400 m
= 2400 ÷ 200
= 12 min
(b)
Time that Ken would had jogged when Paul caught up with him
= 12 + 8
= 20 min
Distance that Ken would have jogged when Paul caught up with him
= 20 x 300
= 6000 m
Answer(s): (a) 12 min; (b) 6000 m