Paul and Luis started jogging from the same point. Luis started jogging 7 minutes earlier than Paul. Paul's jogging speed was 450 m/min and Luis's jogging speed was 300 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 Luis?
- What distance would Luis have jogged when Paul caught up with him? Express your answer in meters.
|
Paul |
Luis |
Speed |
450 m/min |
300 m/min |
Start time |
|
7 min earlier |
Extra distance covered at first |
|
2100 m |
(a)
Distance that Luis covered when he jogged 7 minutes earlier
= 7 x 300
= 2100 m
Distance that Paul covered more than Luis per min
= 450 - 300
= 150 m
Time that Paul needed to take to cover the additional 2100 m
= 2100 ÷ 150
= 14 min
(b)
Time that Luis would had jogged when Paul caught up with him
= 14 + 7
= 21 min
Distance that Luis would have jogged when Paul caught up with him
= 21 x 300
= 6300 m
Answer(s): (a) 14 min; (b) 6300 m