Mark and Jack started jogging from the same point. Jack started jogging 10 minutes earlier than Mark. Mark's jogging speed was 300 m/min and Jack'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 Jack?
- What distance would Jack have jogged when Mark caught up with him? Express your answer in meters.
|
Mark |
Jack |
Speed |
300 m/min |
150 m/min |
Start time |
|
10 min earlier |
Extra distance covered at first |
|
1500 m |
(a)
Distance that Jack covered when he jogged 10 minutes earlier
= 10 x 150
= 1500 m
Distance that Mark covered more than Jack per min
= 300 - 150
= 150 m
Time that Mark needed to take to cover the additional 1500 m
= 1500 ÷ 150
= 10 min
(b)
Time that Jack would had jogged when Mark caught up with him
= 10 + 10
= 20 min
Distance that Jack would have jogged when Mark caught up with him
= 20 x 150
= 3000 m
Answer(s): (a) 10 min; (b) 3000 m