Sean and George started jogging from the same point. George started jogging 8 minutes earlier than Sean. Sean's jogging speed was 300 m/min and George's jogging speed was 200 m/min. They went in the same direction and did not change their speeds throughout.
- How long did it take for Sean to catch up with George?
- What distance would George have jogged when Sean caught up with him? Express your answer in meters.
|
Sean |
George |
Speed |
300 m/min |
200 m/min |
Start time |
|
8 min earlier |
Extra distance covered at first |
|
1600 m |
(a)
Distance that George covered when he jogged 8 minutes earlier
= 8 x 200
= 1600 m
Distance that Sean covered more than George per min
= 300 - 200
= 100 m
Time that Sean needed to take to cover the additional 1600 m
= 1600 ÷ 100
= 16 min
(b)
Time that George would had jogged when Sean caught up with him
= 16 + 8
= 24 min
Distance that George would have jogged when Sean caught up with him
= 24 x 200
= 4800 m
Answer(s): (a) 16 min; (b) 4800 m