Elijah and Dylan started jogging from the same point. Dylan started jogging 2 minutes earlier than Elijah. Elijah's jogging speed was 400 m/min and Dylan'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 Elijah to catch up with Dylan?
- What distance would Dylan have jogged when Elijah caught up with him? Express your answer in meters.
|
Elijah |
Dylan |
Speed |
400 m/min |
200 m/min |
Start time |
|
2 min earlier |
Extra distance covered at first |
|
400 m |
(a)
Distance that Dylan covered when he jogged 2 minutes earlier
= 2 x 200
= 400 m
Distance that Elijah covered more than Dylan per min
= 400 - 200
= 200 m
Time that Elijah needed to take to cover the additional 400 m
= 400 ÷ 200
= 2 min
(b)
Time that Dylan would had jogged when Elijah caught up with him
= 2 + 2
= 4 min
Distance that Dylan would have jogged when Elijah caught up with him
= 4 x 200
= 800 m
Answer(s): (a) 2 min; (b) 800 m