Gabriel and Tim started jogging from the same point. Tim started jogging 4 minutes earlier than Gabriel. Gabriel's jogging speed was 450 m/min and Tim'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 Tim?
- What distance would Tim have jogged when Gabriel caught up with him? Express your answer in meters.
|
Gabriel |
Tim |
Speed |
450 m/min |
300 m/min |
Start time |
|
4 min earlier |
Extra distance covered at first |
|
1200 m |
(a)
Distance that Tim covered when he jogged 4 minutes earlier
= 4 x 300
= 1200 m
Distance that Gabriel covered more than Tim per min
= 450 - 300
= 150 m
Time that Gabriel needed to take to cover the additional 1200 m
= 1200 ÷ 150
= 8 min
(b)
Time that Tim would had jogged when Gabriel caught up with him
= 8 + 4
= 12 min
Distance that Tim would have jogged when Gabriel caught up with him
= 12 x 300
= 3600 m
Answer(s): (a) 8 min; (b) 3600 m