Elijah and Howard started jogging from the same point. Howard started jogging 7 minutes earlier than Elijah. Elijah's jogging speed was 250 m/min and Howard'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 Howard?
- What distance would Howard have jogged when Elijah caught up with him? Express your answer in meters.
|
Elijah |
Howard |
Speed |
250 m/min |
200 m/min |
Start time |
|
7 min earlier |
Extra distance covered at first |
|
1400 m |
(a)
Distance that Howard covered when he jogged 7 minutes earlier
= 7 x 200
= 1400 m
Distance that Elijah covered more than Howard per min
= 250 - 200
= 50 m
Time that Elijah needed to take to cover the additional 1400 m
= 1400 ÷ 50
= 28 min
(b)
Time that Howard would had jogged when Elijah caught up with him
= 28 + 7
= 35 min
Distance that Howard would have jogged when Elijah caught up with him
= 35 x 200
= 7000 m
Answer(s): (a) 28 min; (b) 7000 m