Peter and Bryan started jogging from the same point. Bryan started jogging 10 minutes earlier than Peter. Peter's jogging speed was 350 m/min and Bryan'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 Peter to catch up with Bryan?
- What distance would Bryan have jogged when Peter caught up with him? Express your answer in meters.
|
Peter |
Bryan |
Speed |
350 m/min |
100 m/min |
Start time |
|
10 min earlier |
Extra distance covered at first |
|
1000 m |
(a)
Distance that Bryan covered when he jogged 10 minutes earlier
= 10 x 100
= 1000 m
Distance that Peter covered more than Bryan per min
= 350 - 100
= 250 m
Time that Peter needed to take to cover the additional 1000 m
= 1000 ÷ 250
= 4 min
(b)
Time that Bryan would had jogged when Peter caught up with him
= 4 + 10
= 14 min
Distance that Bryan would have jogged when Peter caught up with him
= 14 x 100
= 1400 m
Answer(s): (a) 4 min; (b) 1400 m