Brandon and Ken started jogging from the same point. Ken started jogging 7 minutes earlier than Brandon. Brandon's jogging speed was 450 m/min and Ken'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 Brandon to catch up with Ken?
- What distance would Ken have jogged when Brandon caught up with him? Express your answer in meters.
|
Brandon |
Ken |
Speed |
450 m/min |
100 m/min |
Start time |
|
7 min earlier |
Extra distance covered at first |
|
700 m |
(a)
Distance that Ken covered when he jogged 7 minutes earlier
= 7 x 100
= 700 m
Distance that Brandon covered more than Ken per min
= 450 - 100
= 350 m
Time that Brandon needed to take to cover the additional 700 m
= 700 ÷ 350
= 2 min
(b)
Time that Ken would had jogged when Brandon caught up with him
= 2 + 7
= 9 min
Distance that Ken would have jogged when Brandon caught up with him
= 9 x 100
= 900 m
Answer(s): (a) 2 min; (b) 900 m