Ivan and Ethan started jogging from the same point. Ethan started jogging 6 minutes earlier than Ivan. Ivan's jogging speed was 400 m/min and Ethan'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 Ivan to catch up with Ethan?
- What distance would Ethan have jogged when Ivan caught up with him? Express your answer in meters.
|
Ivan |
Ethan |
Speed |
400 m/min |
250 m/min |
Start time |
|
6 min earlier |
Extra distance covered at first |
|
1500 m |
(a)
Distance that Ethan covered when he jogged 6 minutes earlier
= 6 x 250
= 1500 m
Distance that Ivan covered more than Ethan per min
= 400 - 250
= 150 m
Time that Ivan needed to take to cover the additional 1500 m
= 1500 ÷ 150
= 10 min
(b)
Time that Ethan would had jogged when Ivan caught up with him
= 10 + 6
= 16 min
Distance that Ethan would have jogged when Ivan caught up with him
= 16 x 250
= 4000 m
Answer(s): (a) 10 min; (b) 4000 m