Archie and George started jogging from the same point. George started jogging 4 minutes earlier than Archie. Archie's jogging speed was 300 m/min and George's jogging speed was 150 m/min. They went in the same direction and did not change their speeds throughout.
- How long did it take for Archie to catch up with George?
- What distance would George have jogged when Archie caught up with him? Express your answer in meters.
|
Archie |
George |
Speed |
300 m/min |
150 m/min |
Start time |
|
4 min earlier |
Extra distance covered at first |
|
600 m |
(a)
Distance that George covered when he jogged 4 minutes earlier
= 4 x 150
= 600 m
Distance that Archie covered more than George per min
= 300 - 150
= 150 m
Time that Archie needed to take to cover the additional 600 m
= 600 ÷ 150
= 4 min
(b)
Time that George would had jogged when Archie caught up with him
= 4 + 4
= 8 min
Distance that George would have jogged when Archie caught up with him
= 8 x 150
= 1200 m
Answer(s): (a) 4 min; (b) 1200 m