David and Caden started jogging from the same point. Caden started jogging 2 minutes earlier than David. David's jogging speed was 200 m/min and Caden'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 David to catch up with Caden?
- What distance would Caden have jogged when David caught up with him? Express your answer in meters.
|
David |
Caden |
Speed |
200 m/min |
150 m/min |
Start time |
|
2 min earlier |
Extra distance covered at first |
|
300 m |
(a)
Distance that Caden covered when he jogged 2 minutes earlier
= 2 x 150
= 300 m
Distance that David covered more than Caden per min
= 200 - 150
= 50 m
Time that David needed to take to cover the additional 300 m
= 300 ÷ 50
= 6 min
(b)
Time that Caden would had jogged when David caught up with him
= 6 + 2
= 8 min
Distance that Caden would have jogged when David caught up with him
= 8 x 150
= 1200 m
Answer(s): (a) 6 min; (b) 1200 m