John and Oscar started jogging from the same point. Oscar started jogging 3 minutes earlier than John. John's jogging speed was 400 m/min and Oscar'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 John to catch up with Oscar?
- What distance would Oscar have jogged when John caught up with him? Express your answer in meters.
|
John |
Oscar |
Speed |
400 m/min |
200 m/min |
Start time |
|
3 min earlier |
Extra distance covered at first |
|
600 m |
(a)
Distance that Oscar covered when he jogged 3 minutes earlier
= 3 x 200
= 600 m
Distance that John covered more than Oscar per min
= 400 - 200
= 200 m
Time that John needed to take to cover the additional 600 m
= 600 ÷ 200
= 3 min
(b)
Time that Oscar would had jogged when John caught up with him
= 3 + 3
= 6 min
Distance that Oscar would have jogged when John caught up with him
= 6 x 200
= 1200 m
Answer(s): (a) 3 min; (b) 1200 m