Paul and Vaidev started jogging from the same point. Vaidev started jogging 10 minutes earlier than Paul. Paul's jogging speed was 300 m/min and Vaidev'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 Paul to catch up with Vaidev?
- What distance would Vaidev have jogged when Paul caught up with him? Express your answer in meters.
|
Paul |
Vaidev |
Speed |
300 m/min |
200 m/min |
Start time |
|
10 min earlier |
Extra distance covered at first |
|
2000 m |
(a)
Distance that Vaidev covered when he jogged 10 minutes earlier
= 10 x 200
= 2000 m
Distance that Paul covered more than Vaidev per min
= 300 - 200
= 100 m
Time that Paul needed to take to cover the additional 2000 m
= 2000 ÷ 100
= 20 min
(b)
Time that Vaidev would had jogged when Paul caught up with him
= 20 + 10
= 30 min
Distance that Vaidev would have jogged when Paul caught up with him
= 30 x 200
= 6000 m
Answer(s): (a) 20 min; (b) 6000 m