Mark and Michael started jogging from the same point. Michael started jogging 6 minutes earlier than Mark. Mark's jogging speed was 300 m/min and Michael'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 Mark to catch up with Michael?
- What distance would Michael have jogged when Mark caught up with him? Express your answer in meters.
|
Mark |
Michael |
Speed |
300 m/min |
250 m/min |
Start time |
|
6 min earlier |
Extra distance covered at first |
|
1500 m |
(a)
Distance that Michael covered when he jogged 6 minutes earlier
= 6 x 250
= 1500 m
Distance that Mark covered more than Michael per min
= 300 - 250
= 50 m
Time that Mark needed to take to cover the additional 1500 m
= 1500 ÷ 50
= 30 min
(b)
Time that Michael would had jogged when Mark caught up with him
= 30 + 6
= 36 min
Distance that Michael would have jogged when Mark caught up with him
= 36 x 250
= 9000 m
Answer(s): (a) 30 min; (b) 9000 m