Mark and Vincent started jogging from the same point. Vincent started jogging 4 minutes earlier than Mark. Mark's jogging speed was 450 m/min and Vincent'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 Mark to catch up with Vincent?
- What distance would Vincent have jogged when Mark caught up with him? Express your answer in meters.
|
Mark |
Vincent |
Speed |
450 m/min |
150 m/min |
Start time |
|
4 min earlier |
Extra distance covered at first |
|
600 m |
(a)
Distance that Vincent covered when he jogged 4 minutes earlier
= 4 x 150
= 600 m
Distance that Mark covered more than Vincent per min
= 450 - 150
= 300 m
Time that Mark needed to take to cover the additional 600 m
= 600 ÷ 300
= 2 min
(b)
Time that Vincent would had jogged when Mark caught up with him
= 2 + 4
= 6 min
Distance that Vincent would have jogged when Mark caught up with him
= 6 x 150
= 900 m
Answer(s): (a) 2 min; (b) 900 m