Caden and Carl started jogging from the same point. Carl started jogging 3 minutes earlier than Caden. Caden's jogging speed was 250 m/min and Carl'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 Caden to catch up with Carl?
- What distance would Carl have jogged when Caden caught up with him? Express your answer in meters.
|
Caden |
Carl |
Speed |
250 m/min |
100 m/min |
Start time |
|
3 min earlier |
Extra distance covered at first |
|
300 m |
(a)
Distance that Carl covered when he jogged 3 minutes earlier
= 3 x 100
= 300 m
Distance that Caden covered more than Carl per min
= 250 - 100
= 150 m
Time that Caden needed to take to cover the additional 300 m
= 300 ÷ 150
= 2 min
(b)
Time that Carl would had jogged when Caden caught up with him
= 2 + 3
= 5 min
Distance that Carl would have jogged when Caden caught up with him
= 5 x 100
= 500 m
Answer(s): (a) 2 min; (b) 500 m