John and Dylan started jogging from the same point. Dylan started jogging 4 minutes earlier than John. John's jogging speed was 450 m/min and Dylan'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 John to catch up with Dylan?
- What distance would Dylan have jogged when John caught up with him? Express your answer in meters.
|
John |
Dylan |
Speed |
450 m/min |
300 m/min |
Start time |
|
4 min earlier |
Extra distance covered at first |
|
1200 m |
(a)
Distance that Dylan covered when he jogged 4 minutes earlier
= 4 x 300
= 1200 m
Distance that John covered more than Dylan per min
= 450 - 300
= 150 m
Time that John needed to take to cover the additional 1200 m
= 1200 ÷ 150
= 8 min
(b)
Time that Dylan would had jogged when John caught up with him
= 8 + 4
= 12 min
Distance that Dylan would have jogged when John caught up with him
= 12 x 300
= 3600 m
Answer(s): (a) 8 min; (b) 3600 m