Gabriel and Brandon started jogging from the same point. Brandon started jogging 7 minutes earlier than Gabriel. Gabriel's jogging speed was 400 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 Gabriel to catch up with Brandon?
- What distance would Brandon have jogged when Gabriel caught up with him? Express your answer in meters.
|
Gabriel |
Brandon |
Speed |
400 m/min |
300 m/min |
Start time |
|
7 min earlier |
Extra distance covered at first |
|
2100 m |
(a)
Distance that Brandon covered when he jogged 7 minutes earlier
= 7 x 300
= 2100 m
Distance that Gabriel covered more than Brandon per min
= 400 - 300
= 100 m
Time that Gabriel needed to take to cover the additional 2100 m
= 2100 ÷ 100
= 21 min
(b)
Time that Brandon would had jogged when Gabriel caught up with him
= 21 + 7
= 28 min
Distance that Brandon would have jogged when Gabriel caught up with him
= 28 x 300
= 8400 m
Answer(s): (a) 21 min; (b) 8400 m