John and David started jogging from the same point. David started jogging 6 minutes earlier than John. John's jogging speed was 350 m/min and David'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 David?
- What distance would David have jogged when John caught up with him? Express your answer in meters.
|
John |
David |
Speed |
350 m/min |
300 m/min |
Start time |
|
6 min earlier |
Extra distance covered at first |
|
1800 m |
(a)
Distance that David covered when he jogged 6 minutes earlier
= 6 x 300
= 1800 m
Distance that John covered more than David per min
= 350 - 300
= 50 m
Time that John needed to take to cover the additional 1800 m
= 1800 ÷ 50
= 36 min
(b)
Time that David would had jogged when John caught up with him
= 36 + 6
= 42 min
Distance that David would have jogged when John caught up with him
= 42 x 300
= 12600 m
Answer(s): (a) 36 min; (b) 12600 m