Ethan and Ben started jogging from the same point. Ben started jogging 2 minutes earlier than Ethan. Ethan's jogging speed was 250 m/min and Ben's jogging speed was 150 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 Ben?
- What distance would Ben have jogged when Ethan caught up with him? Express your answer in meters.
|
Ethan |
Ben |
Speed |
250 m/min |
150 m/min |
Start time |
|
2 min earlier |
Extra distance covered at first |
|
300 m |
(a)
Distance that Ben covered when he jogged 2 minutes earlier
= 2 x 150
= 300 m
Distance that Ethan covered more than Ben per min
= 250 - 150
= 100 m
Time that Ethan needed to take to cover the additional 300 m
= 300 ÷ 100
= 3 min
(b)
Time that Ben would had jogged when Ethan caught up with him
= 3 + 2
= 5 min
Distance that Ben would have jogged when Ethan caught up with him
= 5 x 150
= 750 m
Answer(s): (a) 3 min; (b) 750 m