Caden and Elijah started jogging from the same point. Elijah started jogging 8 minutes earlier than Caden. Caden's jogging speed was 250 m/min and Elijah's jogging speed was 200 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 Elijah?
- What distance would Elijah have jogged when Caden caught up with him? Express your answer in meters.
|
Caden |
Elijah |
Speed |
250 m/min |
200 m/min |
Start time |
|
8 min earlier |
Extra distance covered at first |
|
1600 m |
(a)
Distance that Elijah covered when he jogged 8 minutes earlier
= 8 x 200
= 1600 m
Distance that Caden covered more than Elijah per min
= 250 - 200
= 50 m
Time that Caden needed to take to cover the additional 1600 m
= 1600 ÷ 50
= 32 min
(b)
Time that Elijah would had jogged when Caden caught up with him
= 32 + 8
= 40 min
Distance that Elijah would have jogged when Caden caught up with him
= 40 x 200
= 8000 m
Answer(s): (a) 32 min; (b) 8000 m