Justin and Cody started jogging from the same point. Cody started jogging 2 minutes earlier than Justin. Justin's jogging speed was 400 m/min and Cody's jogging speed was 350 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 Cody?
- What distance would Cody have jogged when Justin caught up with him? Express your answer in meters.
|
Justin |
Cody |
Speed |
400 m/min |
350 m/min |
Start time |
|
2 min earlier |
Extra distance covered at first |
|
700 m |
(a)
Distance that Cody covered when he jogged 2 minutes earlier
= 2 x 350
= 700 m
Distance that Justin covered more than Cody per min
= 400 - 350
= 50 m
Time that Justin needed to take to cover the additional 700 m
= 700 ÷ 50
= 14 min
(b)
Time that Cody would had jogged when Justin caught up with him
= 14 + 2
= 16 min
Distance that Cody would have jogged when Justin caught up with him
= 16 x 350
= 5600 m
Answer(s): (a) 14 min; (b) 5600 m