Caden and Jenson started jogging from the same point. Jenson started jogging 2 minutes earlier than Caden. Caden's jogging speed was 450 m/min and Jenson's jogging speed was 150 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 Jenson?
- What distance would Jenson have jogged when Caden caught up with him? Express your answer in meters.
|
Caden |
Jenson |
Speed |
450 m/min |
150 m/min |
Start time |
|
2 min earlier |
Extra distance covered at first |
|
300 m |
(a)
Distance that Jenson covered when he jogged 2 minutes earlier
= 2 x 150
= 300 m
Distance that Caden covered more than Jenson per min
= 450 - 150
= 300 m
Time that Caden needed to take to cover the additional 300 m
= 300 ÷ 300
= 1 min
(b)
Time that Jenson would had jogged when Caden caught up with him
= 1 + 2
= 3 min
Distance that Jenson would have jogged when Caden caught up with him
= 3 x 150
= 450 m
Answer(s): (a) 1 min; (b) 450 m