Caden and Henry started jogging from the same point. Henry started jogging 6 minutes earlier than Caden. Caden's jogging speed was 450 m/min and Henry's jogging speed was 300 m/min. They went in the same direction and did not change their speeds throughout.
- How long did it take for Caden to catch up with Henry?
- What distance would Henry have jogged when Caden caught up with him? Express your answer in meters.
|
Caden |
Henry |
Speed |
450 m/min |
300 m/min |
Start time |
|
6 min earlier |
Extra distance covered at first |
|
1800 m |
(a)
Distance that Henry covered when he jogged 6 minutes earlier
= 6 x 300
= 1800 m
Distance that Caden covered more than Henry per min
= 450 - 300
= 150 m
Time that Caden needed to take to cover the additional 1800 m
= 1800 ÷ 150
= 12 min
(b)
Time that Henry would had jogged when Caden caught up with him
= 12 + 6
= 18 min
Distance that Henry would have jogged when Caden caught up with him
= 18 x 300
= 5400 m
Answer(s): (a) 12 min; (b) 5400 m