Ethan and Pierre started jogging from the same point. Pierre started jogging 4 minutes earlier than Ethan. Ethan's jogging speed was 500 m/min and Pierre'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 Ethan to catch up with Pierre?
- What distance would Pierre have jogged when Ethan caught up with him? Express your answer in meters.
|
Ethan |
Pierre |
Speed |
500 m/min |
300 m/min |
Start time |
|
4 min earlier |
Extra distance covered at first |
|
1200 m |
(a)
Distance that Pierre covered when he jogged 4 minutes earlier
= 4 x 300
= 1200 m
Distance that Ethan covered more than Pierre per min
= 500 - 300
= 200 m
Time that Ethan needed to take to cover the additional 1200 m
= 1200 ÷ 200
= 6 min
(b)
Time that Pierre would had jogged when Ethan caught up with him
= 6 + 4
= 10 min
Distance that Pierre would have jogged when Ethan caught up with him
= 10 x 300
= 3000 m
Answer(s): (a) 6 min; (b) 3000 m