Caden and Owen started jogging from the same point. Owen started jogging 7 minutes earlier than Caden. Caden's jogging speed was 400 m/min and Owen's jogging speed was 200 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 Owen?
- What distance would Owen have jogged when Caden caught up with him? Express your answer in meters.
|
Caden |
Owen |
Speed |
400 m/min |
200 m/min |
Start time |
|
7 min earlier |
Extra distance covered at first |
|
1400 m |
(a)
Distance that Owen covered when he jogged 7 minutes earlier
= 7 x 200
= 1400 m
Distance that Caden covered more than Owen per min
= 400 - 200
= 200 m
Time that Caden needed to take to cover the additional 1400 m
= 1400 ÷ 200
= 7 min
(b)
Time that Owen would had jogged when Caden caught up with him
= 7 + 7
= 14 min
Distance that Owen would have jogged when Caden caught up with him
= 14 x 200
= 2800 m
Answer(s): (a) 7 min; (b) 2800 m