David and Archie started jogging from the same point. Archie started jogging 2 minutes earlier than David. David's jogging speed was 450 m/min and Archie'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 David to catch up with Archie?
- What distance would Archie have jogged when David caught up with him? Express your answer in meters.
|
David |
Archie |
Speed |
450 m/min |
350 m/min |
Start time |
|
2 min earlier |
Extra distance covered at first |
|
700 m |
(a)
Distance that Archie covered when he jogged 2 minutes earlier
= 2 x 350
= 700 m
Distance that David covered more than Archie per min
= 450 - 350
= 100 m
Time that David needed to take to cover the additional 700 m
= 700 ÷ 100
= 7 min
(b)
Time that Archie would had jogged when David caught up with him
= 7 + 2
= 9 min
Distance that Archie would have jogged when David caught up with him
= 9 x 350
= 3150 m
Answer(s): (a) 7 min; (b) 3150 m