Elijah and Ryan started jogging from the same point. Ryan started jogging 7 minutes earlier than Elijah. Elijah's jogging speed was 400 m/min and Ryan's jogging speed was 350 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 Ryan?
- What distance would Ryan have jogged when Elijah caught up with him? Express your answer in meters.
|
Elijah |
Ryan |
Speed |
400 m/min |
350 m/min |
Start time |
|
7 min earlier |
Extra distance covered at first |
|
2450 m |
(a)
Distance that Ryan covered when he jogged 7 minutes earlier
= 7 x 350
= 2450 m
Distance that Elijah covered more than Ryan per min
= 400 - 350
= 50 m
Time that Elijah needed to take to cover the additional 2450 m
= 2450 ÷ 50
= 49 min
(b)
Time that Ryan would had jogged when Elijah caught up with him
= 49 + 7
= 56 min
Distance that Ryan would have jogged when Elijah caught up with him
= 56 x 350
= 19600 m
Answer(s): (a) 49 min; (b) 19600 m