Archie and Jeremy started jogging from the same point. Jeremy started jogging 8 minutes earlier than Archie. Archie's jogging speed was 450 m/min and Jeremy'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 Jeremy?
- What distance would Jeremy have jogged when Archie caught up with him? Express your answer in meters.
|
Archie |
Jeremy |
Speed |
450 m/min |
150 m/min |
Start time |
|
8 min earlier |
Extra distance covered at first |
|
1200 m |
(a)
Distance that Jeremy covered when he jogged 8 minutes earlier
= 8 x 150
= 1200 m
Distance that Archie covered more than Jeremy per min
= 450 - 150
= 300 m
Time that Archie needed to take to cover the additional 1200 m
= 1200 ÷ 300
= 4 min
(b)
Time that Jeremy would had jogged when Archie caught up with him
= 4 + 8
= 12 min
Distance that Jeremy would have jogged when Archie caught up with him
= 12 x 150
= 1800 m
Answer(s): (a) 4 min; (b) 1800 m