Caden and Dylan started jogging from the same point. Dylan started jogging 2 minutes earlier than Caden. Caden's jogging speed was 500 m/min and Dylan'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 Dylan?
- What distance would Dylan have jogged when Caden caught up with him? Express your answer in meters.
|
Caden |
Dylan |
Speed |
500 m/min |
300 m/min |
Start time |
|
2 min earlier |
Extra distance covered at first |
|
600 m |
(a)
Distance that Dylan covered when he jogged 2 minutes earlier
= 2 x 300
= 600 m
Distance that Caden covered more than Dylan per min
= 500 - 300
= 200 m
Time that Caden needed to take to cover the additional 600 m
= 600 ÷ 200
= 3 min
(b)
Time that Dylan would had jogged when Caden caught up with him
= 3 + 2
= 5 min
Distance that Dylan would have jogged when Caden caught up with him
= 5 x 300
= 1500 m
Answer(s): (a) 3 min; (b) 1500 m