Carl and Archie started jogging from the same point. Archie started jogging 8 minutes earlier than Carl. Carl's jogging speed was 400 m/min and Archie's jogging speed was 350 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 Archie?
- What distance would Archie have jogged when Carl caught up with him? Express your answer in meters.
|
Carl |
Archie |
Speed |
400 m/min |
350 m/min |
Start time |
|
8 min earlier |
Extra distance covered at first |
|
2800 m |
(a)
Distance that Archie covered when he jogged 8 minutes earlier
= 8 x 350
= 2800 m
Distance that Carl covered more than Archie per min
= 400 - 350
= 50 m
Time that Carl needed to take to cover the additional 2800 m
= 2800 ÷ 50
= 56 min
(b)
Time that Archie would had jogged when Carl caught up with him
= 56 + 8
= 64 min
Distance that Archie would have jogged when Carl caught up with him
= 64 x 350
= 22400 m
Answer(s): (a) 56 min; (b) 22400 m