Zane and Seth started jogging from the same point. Seth started jogging 6 minutes earlier than Zane. Zane'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 Zane to catch up with Seth?
- What distance would Seth have jogged when Zane caught up with him? Express your answer in meters.
|
Zane |
Seth |
Speed |
350 m/min |
300 m/min |
Start time |
|
6 min earlier |
Extra distance covered at first |
|
1800 m |
(a)
Distance that Seth covered when he jogged 6 minutes earlier
= 6 x 300
= 1800 m
Distance that Zane covered more than Seth per min
= 350 - 300
= 50 m
Time that Zane needed to take to cover the additional 1800 m
= 1800 ÷ 50
= 36 min
(b)
Time that Seth would had jogged when Zane caught up with him
= 36 + 6
= 42 min
Distance that Seth would have jogged when Zane caught up with him
= 42 x 300
= 12600 m
Answer(s): (a) 36 min; (b) 12600 m