Paul and Dylan started jogging from the same point. Dylan started jogging 4 minutes earlier than Paul. Paul's jogging speed was 200 m/min and Dylan'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 Paul to catch up with Dylan?
- What distance would Dylan have jogged when Paul caught up with him? Express your answer in meters.
|
Paul |
Dylan |
Speed |
200 m/min |
150 m/min |
Start time |
|
4 min earlier |
Extra distance covered at first |
|
600 m |
(a)
Distance that Dylan covered when he jogged 4 minutes earlier
= 4 x 150
= 600 m
Distance that Paul covered more than Dylan per min
= 200 - 150
= 50 m
Time that Paul needed to take to cover the additional 600 m
= 600 ÷ 50
= 12 min
(b)
Time that Dylan would had jogged when Paul caught up with him
= 12 + 4
= 16 min
Distance that Dylan would have jogged when Paul caught up with him
= 16 x 150
= 2400 m
Answer(s): (a) 12 min; (b) 2400 m