Seth and Ivan started jogging from the same point. Ivan started jogging 3 minutes earlier than Seth. Seth'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 Seth to catch up with Ivan?
- What distance would Ivan have jogged when Seth caught up with him? Express your answer in meters.
|
Seth |
Ivan |
Speed |
250 m/min |
200 m/min |
Start time |
|
3 min earlier |
Extra distance covered at first |
|
600 m |
(a)
Distance that Ivan covered when he jogged 3 minutes earlier
= 3 x 200
= 600 m
Distance that Seth covered more than Ivan per min
= 250 - 200
= 50 m
Time that Seth needed to take to cover the additional 600 m
= 600 ÷ 50
= 12 min
(b)
Time that Ivan would had jogged when Seth caught up with him
= 12 + 3
= 15 min
Distance that Ivan would have jogged when Seth caught up with him
= 15 x 200
= 3000 m
Answer(s): (a) 12 min; (b) 3000 m