Daniel and Zane started jogging from the same point. Zane started jogging 5 minutes earlier than Daniel. Daniel's jogging speed was 300 m/min and Zane's jogging speed was 250 m/min. They went in the same direction and did not change their speeds throughout.
- How long did it take for Daniel to catch up with Zane?
- What distance would Zane have jogged when Daniel caught up with him? Express your answer in meters.
|
Daniel |
Zane |
Speed |
300 m/min |
250 m/min |
Start time |
|
5 min earlier |
Extra distance covered at first |
|
1250 m |
(a)
Distance that Zane covered when he jogged 5 minutes earlier
= 5 x 250
= 1250 m
Distance that Daniel covered more than Zane per min
= 300 - 250
= 50 m
Time that Daniel needed to take to cover the additional 1250 m
= 1250 ÷ 50
= 25 min
(b)
Time that Zane would had jogged when Daniel caught up with him
= 25 + 5
= 30 min
Distance that Zane would have jogged when Daniel caught up with him
= 30 x 250
= 7500 m
Answer(s): (a) 25 min; (b) 7500 m