Justin and Caden started jogging from the same point. Caden started jogging 9 minutes earlier than Justin. Justin'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 Justin to catch up with Caden?
- What distance would Caden have jogged when Justin caught up with him? Express your answer in meters.
|
Justin |
Caden |
Speed |
400 m/min |
250 m/min |
Start time |
|
9 min earlier |
Extra distance covered at first |
|
2250 m |
(a)
Distance that Caden covered when he jogged 9 minutes earlier
= 9 x 250
= 2250 m
Distance that Justin covered more than Caden per min
= 400 - 250
= 150 m
Time that Justin needed to take to cover the additional 2250 m
= 2250 ÷ 150
= 15 min
(b)
Time that Caden would had jogged when Justin caught up with him
= 15 + 9
= 24 min
Distance that Caden would have jogged when Justin caught up with him
= 24 x 250
= 6000 m
Answer(s): (a) 15 min; (b) 6000 m