Caden and Ivan started jogging from the same point. Ivan started jogging 9 minutes earlier than Caden. Caden's jogging speed was 250 m/min and Ivan'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 Ivan?
- What distance would Ivan have jogged when Caden caught up with him? Express your answer in meters.
|
Caden |
Ivan |
Speed |
250 m/min |
200 m/min |
Start time |
|
9 min earlier |
Extra distance covered at first |
|
1800 m |
(a)
Distance that Ivan covered when he jogged 9 minutes earlier
= 9 x 200
= 1800 m
Distance that Caden covered more than Ivan per min
= 250 - 200
= 50 m
Time that Caden needed to take to cover the additional 1800 m
= 1800 ÷ 50
= 36 min
(b)
Time that Ivan would had jogged when Caden caught up with him
= 36 + 9
= 45 min
Distance that Ivan would have jogged when Caden caught up with him
= 45 x 200
= 9000 m
Answer(s): (a) 36 min; (b) 9000 m