Zane and Will started jogging from the same point. Will started jogging 8 minutes earlier than Zane. Zane's jogging speed was 350 m/min and Will'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 Will?
- What distance would Will have jogged when Zane caught up with him? Express your answer in meters.
|
Zane |
Will |
Speed |
350 m/min |
300 m/min |
Start time |
|
8 min earlier |
Extra distance covered at first |
|
2400 m |
(a)
Distance that Will covered when he jogged 8 minutes earlier
= 8 x 300
= 2400 m
Distance that Zane covered more than Will per min
= 350 - 300
= 50 m
Time that Zane needed to take to cover the additional 2400 m
= 2400 ÷ 50
= 48 min
(b)
Time that Will would had jogged when Zane caught up with him
= 48 + 8
= 56 min
Distance that Will would have jogged when Zane caught up with him
= 56 x 300
= 16800 m
Answer(s): (a) 48 min; (b) 16800 m