Ken and Zane started jogging from the same point. Zane started jogging 9 minutes earlier than Ken. Ken's jogging speed was 450 m/min and Zane'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 Ken to catch up with Zane?
- What distance would Zane have jogged when Ken caught up with him? Express your answer in meters.
|
Ken |
Zane |
Speed |
450 m/min |
300 m/min |
Start time |
|
9 min earlier |
Extra distance covered at first |
|
2700 m |
(a)
Distance that Zane covered when he jogged 9 minutes earlier
= 9 x 300
= 2700 m
Distance that Ken covered more than Zane per min
= 450 - 300
= 150 m
Time that Ken needed to take to cover the additional 2700 m
= 2700 ÷ 150
= 18 min
(b)
Time that Zane would had jogged when Ken caught up with him
= 18 + 9
= 27 min
Distance that Zane would have jogged when Ken caught up with him
= 27 x 300
= 8100 m
Answer(s): (a) 18 min; (b) 8100 m