Vincent and Owen started jogging from the same point. Owen started jogging 3 minutes earlier than Vincent. Vincent's jogging speed was 300 m/min and Owen'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 Vincent to catch up with Owen?
- What distance would Owen have jogged when Vincent caught up with him? Express your answer in meters.
|
Vincent |
Owen |
Speed |
300 m/min |
250 m/min |
Start time |
|
3 min earlier |
Extra distance covered at first |
|
750 m |
(a)
Distance that Owen covered when he jogged 3 minutes earlier
= 3 x 250
= 750 m
Distance that Vincent covered more than Owen per min
= 300 - 250
= 50 m
Time that Vincent needed to take to cover the additional 750 m
= 750 ÷ 50
= 15 min
(b)
Time that Owen would had jogged when Vincent caught up with him
= 15 + 3
= 18 min
Distance that Owen would have jogged when Vincent caught up with him
= 18 x 250
= 4500 m
Answer(s): (a) 15 min; (b) 4500 m