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