Carl and Justin started jogging from the same point. Justin started jogging 6 minutes earlier than Carl. Carl's jogging speed was 200 m/min and Justin's jogging speed was 100 m/min. They went in the same direction and did not change their speeds throughout.
- How long did it take for Carl to catch up with Justin?
- What distance would Justin have jogged when Carl caught up with him? Express your answer in meters.
|
Carl |
Justin |
Speed |
200 m/min |
100 m/min |
Start time |
|
6 min earlier |
Extra distance covered at first |
|
600 m |
(a)
Distance that Justin covered when he jogged 6 minutes earlier
= 6 x 100
= 600 m
Distance that Carl covered more than Justin per min
= 200 - 100
= 100 m
Time that Carl needed to take to cover the additional 600 m
= 600 ÷ 100
= 6 min
(b)
Time that Justin would had jogged when Carl caught up with him
= 6 + 6
= 12 min
Distance that Justin would have jogged when Carl caught up with him
= 12 x 100
= 1200 m
Answer(s): (a) 6 min; (b) 1200 m