Bryan and Billy started jogging from the same point. Billy started jogging 10 minutes earlier than Bryan. Bryan's jogging speed was 200 m/min and Billy'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 Bryan to catch up with Billy?
- What distance would Billy have jogged when Bryan caught up with him? Express your answer in meters.
|
Bryan |
Billy |
Speed |
200 m/min |
150 m/min |
Start time |
|
10 min earlier |
Extra distance covered at first |
|
1500 m |
(a)
Distance that Billy covered when he jogged 10 minutes earlier
= 10 x 150
= 1500 m
Distance that Bryan covered more than Billy per min
= 200 - 150
= 50 m
Time that Bryan needed to take to cover the additional 1500 m
= 1500 ÷ 50
= 30 min
(b)
Time that Billy would had jogged when Bryan caught up with him
= 30 + 10
= 40 min
Distance that Billy would have jogged when Bryan caught up with him
= 40 x 150
= 6000 m
Answer(s): (a) 30 min; (b) 6000 m