Jack and Paul started jogging from the same point. Paul started jogging 6 minutes earlier than Jack. Jack's jogging speed was 350 m/min and Paul'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 Jack to catch up with Paul?
- What distance would Paul have jogged when Jack caught up with him? Express your answer in meters.
|
Jack |
Paul |
Speed |
350 m/min |
200 m/min |
Start time |
|
6 min earlier |
Extra distance covered at first |
|
1200 m |
(a)
Distance that Paul covered when he jogged 6 minutes earlier
= 6 x 200
= 1200 m
Distance that Jack covered more than Paul per min
= 350 - 200
= 150 m
Time that Jack needed to take to cover the additional 1200 m
= 1200 ÷ 150
= 8 min
(b)
Time that Paul would had jogged when Jack caught up with him
= 8 + 6
= 14 min
Distance that Paul would have jogged when Jack caught up with him
= 14 x 200
= 2800 m
Answer(s): (a) 8 min; (b) 2800 m