Fabian and Caden started jogging from the same point. Caden started jogging 9 minutes earlier than Fabian. Fabian's jogging speed was 350 m/min and Caden'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 Fabian to catch up with Caden?
- What distance would Caden have jogged when Fabian caught up with him? Express your answer in meters.
|
Fabian |
Caden |
Speed |
350 m/min |
200 m/min |
Start time |
|
9 min earlier |
Extra distance covered at first |
|
1800 m |
(a)
Distance that Caden covered when he jogged 9 minutes earlier
= 9 x 200
= 1800 m
Distance that Fabian covered more than Caden per min
= 350 - 200
= 150 m
Time that Fabian needed to take to cover the additional 1800 m
= 1800 ÷ 150
= 12 min
(b)
Time that Caden would had jogged when Fabian caught up with him
= 12 + 9
= 21 min
Distance that Caden would have jogged when Fabian caught up with him
= 21 x 200
= 4200 m
Answer(s): (a) 12 min; (b) 4200 m