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