Peter and Jack started jogging from the same point. Jack started jogging 6 minutes earlier than Peter. Peter's jogging speed was 400 m/min and Jack'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 Jack?
- What distance would Jack have jogged when Peter caught up with him? Express your answer in meters.
|
Peter |
Jack |
Speed |
400 m/min |
200 m/min |
Start time |
|
6 min earlier |
Extra distance covered at first |
|
1200 m |
(a)
Distance that Jack covered when he jogged 6 minutes earlier
= 6 x 200
= 1200 m
Distance that Peter covered more than Jack per min
= 400 - 200
= 200 m
Time that Peter needed to take to cover the additional 1200 m
= 1200 ÷ 200
= 6 min
(b)
Time that Jack would had jogged when Peter caught up with him
= 6 + 6
= 12 min
Distance that Jack would have jogged when Peter caught up with him
= 12 x 200
= 2400 m
Answer(s): (a) 6 min; (b) 2400 m