Peter and Brandon started jogging from the same point. Brandon started jogging 2 minutes earlier than Peter. Peter's jogging speed was 450 m/min and Brandon's jogging speed was 300 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 Brandon?
- What distance would Brandon have jogged when Peter caught up with him? Express your answer in meters.
|
Peter |
Brandon |
Speed |
450 m/min |
300 m/min |
Start time |
|
2 min earlier |
Extra distance covered at first |
|
600 m |
(a)
Distance that Brandon covered when he jogged 2 minutes earlier
= 2 x 300
= 600 m
Distance that Peter covered more than Brandon per min
= 450 - 300
= 150 m
Time that Peter needed to take to cover the additional 600 m
= 600 ÷ 150
= 4 min
(b)
Time that Brandon would had jogged when Peter caught up with him
= 4 + 2
= 6 min
Distance that Brandon would have jogged when Peter caught up with him
= 6 x 300
= 1800 m
Answer(s): (a) 4 min; (b) 1800 m