Zane and Fabian started jogging from the same point. Fabian started jogging 7 minutes earlier than Zane. Zane's jogging speed was 450 m/min and Fabian'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 Fabian?
- What distance would Fabian have jogged when Zane caught up with him? Express your answer in meters.
|
Zane |
Fabian |
Speed |
450 m/min |
300 m/min |
Start time |
|
7 min earlier |
Extra distance covered at first |
|
2100 m |
(a)
Distance that Fabian covered when he jogged 7 minutes earlier
= 7 x 300
= 2100 m
Distance that Zane covered more than Fabian per min
= 450 - 300
= 150 m
Time that Zane needed to take to cover the additional 2100 m
= 2100 ÷ 150
= 14 min
(b)
Time that Fabian would had jogged when Zane caught up with him
= 14 + 7
= 21 min
Distance that Fabian would have jogged when Zane caught up with him
= 21 x 300
= 6300 m
Answer(s): (a) 14 min; (b) 6300 m