Peter and Vincent started jogging from the same point. Vincent started jogging 7 minutes earlier than Peter. Peter's jogging speed was 400 m/min and Vincent'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 Peter to catch up with Vincent?
- What distance would Vincent have jogged when Peter caught up with him? Express your answer in meters.
|
Peter |
Vincent |
Speed |
400 m/min |
200 m/min |
Start time |
|
7 min earlier |
Extra distance covered at first |
|
1400 m |
(a)
Distance that Vincent covered when he jogged 7 minutes earlier
= 7 x 200
= 1400 m
Distance that Peter covered more than Vincent per min
= 400 - 200
= 200 m
Time that Peter needed to take to cover the additional 1400 m
= 1400 ÷ 200
= 7 min
(b)
Time that Vincent would had jogged when Peter caught up with him
= 7 + 7
= 14 min
Distance that Vincent would have jogged when Peter caught up with him
= 14 x 200
= 2800 m
Answer(s): (a) 7 min; (b) 2800 m