Harry and George started jogging from the same point. George started jogging 4 minutes earlier than Harry. Harry's jogging speed was 500 m/min and George's jogging speed was 100 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 George?
- What distance would George have jogged when Harry caught up with him? Express your answer in meters.
|
Harry |
George |
Speed |
500 m/min |
100 m/min |
Start time |
|
4 min earlier |
Extra distance covered at first |
|
400 m |
(a)
Distance that George covered when he jogged 4 minutes earlier
= 4 x 100
= 400 m
Distance that Harry covered more than George per min
= 500 - 100
= 400 m
Time that Harry needed to take to cover the additional 400 m
= 400 ÷ 400
= 1 min
(b)
Time that George would had jogged when Harry caught up with him
= 1 + 4
= 5 min
Distance that George would have jogged when Harry caught up with him
= 5 x 100
= 500 m
Answer(s): (a) 1 min; (b) 500 m