John and Zeph started jogging from the same point. Zeph started jogging 6 minutes earlier than John. John's jogging speed was 300 m/min and Zeph'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 John to catch up with Zeph?
- What distance would Zeph have jogged when John caught up with him? Express your answer in meters.
|
John |
Zeph |
Speed |
300 m/min |
150 m/min |
Start time |
|
6 min earlier |
Extra distance covered at first |
|
900 m |
(a)
Distance that Zeph covered when he jogged 6 minutes earlier
= 6 x 150
= 900 m
Distance that John covered more than Zeph per min
= 300 - 150
= 150 m
Time that John needed to take to cover the additional 900 m
= 900 ÷ 150
= 6 min
(b)
Time that Zeph would had jogged when John caught up with him
= 6 + 6
= 12 min
Distance that Zeph would have jogged when John caught up with him
= 12 x 150
= 1800 m
Answer(s): (a) 6 min; (b) 1800 m