Mark and Ben started jogging from the same point. Ben started jogging 9 minutes earlier than Mark. Mark's jogging speed was 500 m/min and Ben's jogging speed was 350 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 Ben?
- What distance would Ben have jogged when Mark caught up with him? Express your answer in meters.
|
Mark |
Ben |
Speed |
500 m/min |
350 m/min |
Start time |
|
9 min earlier |
Extra distance covered at first |
|
3150 m |
(a)
Distance that Ben covered when he jogged 9 minutes earlier
= 9 x 350
= 3150 m
Distance that Mark covered more than Ben per min
= 500 - 350
= 150 m
Time that Mark needed to take to cover the additional 3150 m
= 3150 ÷ 150
= 21 min
(b)
Time that Ben would had jogged when Mark caught up with him
= 21 + 9
= 30 min
Distance that Ben would have jogged when Mark caught up with him
= 30 x 350
= 10500 m
Answer(s): (a) 21 min; (b) 10500 m