Billy and Seth started jogging from the same point. Seth started jogging 8 minutes earlier than Billy. Billy's jogging speed was 200 m/min and Seth'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 Billy to catch up with Seth?
- What distance would Seth have jogged when Billy caught up with him? Express your answer in meters.
|
Billy |
Seth |
Speed |
200 m/min |
150 m/min |
Start time |
|
8 min earlier |
Extra distance covered at first |
|
1200 m |
(a)
Distance that Seth covered when he jogged 8 minutes earlier
= 8 x 150
= 1200 m
Distance that Billy covered more than Seth per min
= 200 - 150
= 50 m
Time that Billy needed to take to cover the additional 1200 m
= 1200 ÷ 50
= 24 min
(b)
Time that Seth would had jogged when Billy caught up with him
= 24 + 8
= 32 min
Distance that Seth would have jogged when Billy caught up with him
= 32 x 150
= 4800 m
Answer(s): (a) 24 min; (b) 4800 m