Mark and Andy started jogging from the same point. Andy started jogging 6 minutes earlier than Mark. Mark's jogging speed was 350 m/min and Andy's jogging speed was 200 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 Andy?
- What distance would Andy have jogged when Mark caught up with him? Express your answer in meters.
|
Mark |
Andy |
Speed |
350 m/min |
200 m/min |
Start time |
|
6 min earlier |
Extra distance covered at first |
|
1200 m |
(a)
Distance that Andy covered when he jogged 6 minutes earlier
= 6 x 200
= 1200 m
Distance that Mark covered more than Andy per min
= 350 - 200
= 150 m
Time that Mark needed to take to cover the additional 1200 m
= 1200 ÷ 150
= 8 min
(b)
Time that Andy would had jogged when Mark caught up with him
= 8 + 6
= 14 min
Distance that Andy would have jogged when Mark caught up with him
= 14 x 200
= 2800 m
Answer(s): (a) 8 min; (b) 2800 m