Dylan and Seth started jogging from the same point. Seth started jogging 9 minutes earlier than Dylan. Dylan's jogging speed was 350 m/min and Seth's jogging speed was 300 m/min. They went in the same direction and did not change their speeds throughout.
- How long did it take for Dylan to catch up with Seth?
- What distance would Seth have jogged when Dylan caught up with him? Express your answer in meters.
|
Dylan |
Seth |
Speed |
350 m/min |
300 m/min |
Start time |
|
9 min earlier |
Extra distance covered at first |
|
2700 m |
(a)
Distance that Seth covered when he jogged 9 minutes earlier
= 9 x 300
= 2700 m
Distance that Dylan covered more than Seth per min
= 350 - 300
= 50 m
Time that Dylan needed to take to cover the additional 2700 m
= 2700 ÷ 50
= 54 min
(b)
Time that Seth would had jogged when Dylan caught up with him
= 54 + 9
= 63 min
Distance that Seth would have jogged when Dylan caught up with him
= 63 x 300
= 18900 m
Answer(s): (a) 54 min; (b) 18900 m