Daniel and David started jogging from the same point. David started jogging 9 minutes earlier than Daniel. Daniel's jogging speed was 400 m/min and David'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 Daniel to catch up with David?
- What distance would David have jogged when Daniel caught up with him? Express your answer in meters.
|
Daniel |
David |
Speed |
400 m/min |
200 m/min |
Start time |
|
9 min earlier |
Extra distance covered at first |
|
1800 m |
(a)
Distance that David covered when he jogged 9 minutes earlier
= 9 x 200
= 1800 m
Distance that Daniel covered more than David per min
= 400 - 200
= 200 m
Time that Daniel needed to take to cover the additional 1800 m
= 1800 ÷ 200
= 9 min
(b)
Time that David would had jogged when Daniel caught up with him
= 9 + 9
= 18 min
Distance that David would have jogged when Daniel caught up with him
= 18 x 200
= 3600 m
Answer(s): (a) 9 min; (b) 3600 m