Ben and Bryan started jogging from the same point. Bryan started jogging 4 minutes earlier than Ben. Ben's jogging speed was 450 m/min and Bryan's jogging speed was 250 m/min. They went in the same direction and did not change their speeds throughout.
- How long did it take for Ben to catch up with Bryan?
- What distance would Bryan have jogged when Ben caught up with him? Express your answer in meters.
|
Ben |
Bryan |
Speed |
450 m/min |
250 m/min |
Start time |
|
4 min earlier |
Extra distance covered at first |
|
1000 m |
(a)
Distance that Bryan covered when he jogged 4 minutes earlier
= 4 x 250
= 1000 m
Distance that Ben covered more than Bryan per min
= 450 - 250
= 200 m
Time that Ben needed to take to cover the additional 1000 m
= 1000 ÷ 200
= 5 min
(b)
Time that Bryan would had jogged when Ben caught up with him
= 5 + 4
= 9 min
Distance that Bryan would have jogged when Ben caught up with him
= 9 x 250
= 2250 m
Answer(s): (a) 5 min; (b) 2250 m