Jack and Paul started jogging from the same point. Paul started jogging 4 minutes earlier than Jack. Jack's jogging speed was 350 m/min and Paul'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 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 |
150 m/min |
Start time |
|
4 min earlier |
Extra distance covered at first |
|
600 m |
(a)
Distance that Paul covered when he jogged 4 minutes earlier
= 4 x 150
= 600 m
Distance that Jack covered more than Paul per min
= 350 - 150
= 200 m
Time that Jack needed to take to cover the additional 600 m
= 600 ÷ 200
= 3 min
(b)
Time that Paul would had jogged when Jack caught up with him
= 3 + 4
= 7 min
Distance that Paul would have jogged when Jack caught up with him
= 7 x 150
= 1050 m
Answer(s): (a) 3 min; (b) 1050 m