Peter and John started jogging from the same point. John started jogging 6 minutes earlier than Peter. Peter's jogging speed was 200 m/min and John's jogging speed was 150 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 John?
- What distance would John have jogged when Peter caught up with him? Express your answer in meters.
|
Peter |
John |
Speed |
200 m/min |
150 m/min |
Start time |
|
6 min earlier |
Extra distance covered at first |
|
900 m |
(a)
Distance that John covered when he jogged 6 minutes earlier
= 6 x 150
= 900 m
Distance that Peter covered more than John per min
= 200 - 150
= 50 m
Time that Peter needed to take to cover the additional 900 m
= 900 ÷ 50
= 18 min
(b)
Time that John would had jogged when Peter caught up with him
= 18 + 6
= 24 min
Distance that John would have jogged when Peter caught up with him
= 24 x 150
= 3600 m
Answer(s): (a) 18 min; (b) 3600 m