Elijah and Howard started jogging from the same point. Howard started jogging 9 minutes earlier than Elijah. Elijah's jogging speed was 500 m/min and Howard's jogging speed was 250 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 |
500 m/min |
250 m/min |
Start time |
|
9 min earlier |
Extra distance covered at first |
|
2250 m |
(a)
Distance that Howard covered when he jogged 9 minutes earlier
= 9 x 250
= 2250 m
Distance that Elijah covered more than Howard per min
= 500 - 250
= 250 m
Time that Elijah needed to take to cover the additional 2250 m
= 2250 ÷ 250
= 9 min
(b)
Time that Howard would had jogged when Elijah caught up with him
= 9 + 9
= 18 min
Distance that Howard would have jogged when Elijah caught up with him
= 18 x 250
= 4500 m
Answer(s): (a) 9 min; (b) 4500 m