Harry and Ken started jogging from the same point. Ken started jogging 2 minutes earlier than Harry. Harry's jogging speed was 400 m/min and Ken's jogging speed was 200 m/min. They went in the same direction and did not change their speeds throughout.
- How long did it take for Harry to catch up with Ken?
- What distance would Ken have jogged when Harry caught up with him? Express your answer in meters.
|
Harry |
Ken |
Speed |
400 m/min |
200 m/min |
Start time |
|
2 min earlier |
Extra distance covered at first |
|
400 m |
(a)
Distance that Ken covered when he jogged 2 minutes earlier
= 2 x 200
= 400 m
Distance that Harry covered more than Ken per min
= 400 - 200
= 200 m
Time that Harry needed to take to cover the additional 400 m
= 400 ÷ 200
= 2 min
(b)
Time that Ken would had jogged when Harry caught up with him
= 2 + 2
= 4 min
Distance that Ken would have jogged when Harry caught up with him
= 4 x 200
= 800 m
Answer(s): (a) 2 min; (b) 800 m