Carl and Ian started jogging from the same point. Ian started jogging 9 minutes earlier than Carl. Carl's jogging speed was 400 m/min and Ian'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 Carl to catch up with Ian?
- What distance would Ian have jogged when Carl caught up with him? Express your answer in meters.
|
Carl |
Ian |
Speed |
400 m/min |
200 m/min |
Start time |
|
9 min earlier |
Extra distance covered at first |
|
1800 m |
(a)
Distance that Ian covered when he jogged 9 minutes earlier
= 9 x 200
= 1800 m
Distance that Carl covered more than Ian per min
= 400 - 200
= 200 m
Time that Carl needed to take to cover the additional 1800 m
= 1800 ÷ 200
= 9 min
(b)
Time that Ian would had jogged when Carl caught up with him
= 9 + 9
= 18 min
Distance that Ian would have jogged when Carl caught up with him
= 18 x 200
= 3600 m
Answer(s): (a) 9 min; (b) 3600 m