Bryan and Harry started jogging from the same point. Harry started jogging 9 minutes earlier than Bryan. Bryan's jogging speed was 250 m/min and Harry's jogging speed was 100 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 Harry?
- What distance would Harry have jogged when Bryan caught up with him? Express your answer in meters.
|
Bryan |
Harry |
Speed |
250 m/min |
100 m/min |
Start time |
|
9 min earlier |
Extra distance covered at first |
|
900 m |
(a)
Distance that Harry covered when he jogged 9 minutes earlier
= 9 x 100
= 900 m
Distance that Bryan covered more than Harry per min
= 250 - 100
= 150 m
Time that Bryan needed to take to cover the additional 900 m
= 900 ÷ 150
= 6 min
(b)
Time that Harry would had jogged when Bryan caught up with him
= 6 + 9
= 15 min
Distance that Harry would have jogged when Bryan caught up with him
= 15 x 100
= 1500 m
Answer(s): (a) 6 min; (b) 1500 m