Reggie and Caden started jogging from the same point. Caden started jogging 6 minutes earlier than Reggie. Reggie's jogging speed was 400 m/min and Caden's jogging speed was 250 m/min. They went in the same direction and did not change their speeds throughout.
- How long did it take for Reggie to catch up with Caden?
- What distance would Caden have jogged when Reggie caught up with him? Express your answer in meters.
|
Reggie |
Caden |
Speed |
400 m/min |
250 m/min |
Start time |
|
6 min earlier |
Extra distance covered at first |
|
1500 m |
(a)
Distance that Caden covered when he jogged 6 minutes earlier
= 6 x 250
= 1500 m
Distance that Reggie covered more than Caden per min
= 400 - 250
= 150 m
Time that Reggie needed to take to cover the additional 1500 m
= 1500 ÷ 150
= 10 min
(b)
Time that Caden would had jogged when Reggie caught up with him
= 10 + 6
= 16 min
Distance that Caden would have jogged when Reggie caught up with him
= 16 x 250
= 4000 m
Answer(s): (a) 10 min; (b) 4000 m