Caden and Carl started jogging from the same point. Carl started jogging 10 minutes earlier than Caden. Caden's jogging speed was 350 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 |
350 m/min |
100 m/min |
Start time |
|
10 min earlier |
Extra distance covered at first |
|
1000 m |
(a)
Distance that Carl covered when he jogged 10 minutes earlier
= 10 x 100
= 1000 m
Distance that Caden covered more than Carl per min
= 350 - 100
= 250 m
Time that Caden needed to take to cover the additional 1000 m
= 1000 ÷ 250
= 4 min
(b)
Time that Carl would had jogged when Caden caught up with him
= 4 + 10
= 14 min
Distance that Carl would have jogged when Caden caught up with him
= 14 x 100
= 1400 m
Answer(s): (a) 4 min; (b) 1400 m