Harry and Pierre started jogging from the same point. Pierre started jogging 2 minutes earlier than Harry. Harry's jogging speed was 350 m/min and Pierre'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 Harry to catch up with Pierre?
- What distance would Pierre have jogged when Harry caught up with him? Express your answer in meters.
|
Harry |
Pierre |
Speed |
350 m/min |
300 m/min |
Start time |
|
2 min earlier |
Extra distance covered at first |
|
600 m |
(a)
Distance that Pierre covered when he jogged 2 minutes earlier
= 2 x 300
= 600 m
Distance that Harry covered more than Pierre per min
= 350 - 300
= 50 m
Time that Harry needed to take to cover the additional 600 m
= 600 ÷ 50
= 12 min
(b)
Time that Pierre would had jogged when Harry caught up with him
= 12 + 2
= 14 min
Distance that Pierre would have jogged when Harry caught up with him
= 14 x 300
= 4200 m
Answer(s): (a) 12 min; (b) 4200 m