Carl and Ryan started jogging from the same point. Ryan started jogging 3 minutes earlier than Carl. Carl's jogging speed was 350 m/min and Ryan'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 Ryan?
- What distance would Ryan have jogged when Carl caught up with him? Express your answer in meters.
|
Carl |
Ryan |
Speed |
350 m/min |
200 m/min |
Start time |
|
3 min earlier |
Extra distance covered at first |
|
600 m |
(a)
Distance that Ryan covered when he jogged 3 minutes earlier
= 3 x 200
= 600 m
Distance that Carl covered more than Ryan per min
= 350 - 200
= 150 m
Time that Carl needed to take to cover the additional 600 m
= 600 ÷ 150
= 4 min
(b)
Time that Ryan would had jogged when Carl caught up with him
= 4 + 3
= 7 min
Distance that Ryan would have jogged when Carl caught up with him
= 7 x 200
= 1400 m
Answer(s): (a) 4 min; (b) 1400 m