Billy and Jeremy started jogging from the same point. Jeremy started jogging 8 minutes earlier than Billy. Billy's jogging speed was 300 m/min and Jeremy'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 Billy to catch up with Jeremy?
- What distance would Jeremy have jogged when Billy caught up with him? Express your answer in meters.
|
Billy |
Jeremy |
Speed |
300 m/min |
200 m/min |
Start time |
|
8 min earlier |
Extra distance covered at first |
|
1600 m |
(a)
Distance that Jeremy covered when he jogged 8 minutes earlier
= 8 x 200
= 1600 m
Distance that Billy covered more than Jeremy per min
= 300 - 200
= 100 m
Time that Billy needed to take to cover the additional 1600 m
= 1600 ÷ 100
= 16 min
(b)
Time that Jeremy would had jogged when Billy caught up with him
= 16 + 8
= 24 min
Distance that Jeremy would have jogged when Billy caught up with him
= 24 x 200
= 4800 m
Answer(s): (a) 16 min; (b) 4800 m