David and Paul started jogging from the same point. Paul started jogging 6 minutes earlier than David. David's jogging speed was 400 m/min and Paul's jogging speed was 100 m/min. They went in the same direction and did not change their speeds throughout.
- How long did it take for David to catch up with Paul?
- What distance would Paul have jogged when David caught up with him? Express your answer in meters.
|
David |
Paul |
Speed |
400 m/min |
100 m/min |
Start time |
|
6 min earlier |
Extra distance covered at first |
|
600 m |
(a)
Distance that Paul covered when he jogged 6 minutes earlier
= 6 x 100
= 600 m
Distance that David covered more than Paul per min
= 400 - 100
= 300 m
Time that David needed to take to cover the additional 600 m
= 600 ÷ 300
= 2 min
(b)
Time that Paul would had jogged when David caught up with him
= 2 + 6
= 8 min
Distance that Paul would have jogged when David caught up with him
= 8 x 100
= 800 m
Answer(s): (a) 2 min; (b) 800 m