Gabriel and Julian started jogging from the same point. Julian started jogging 6 minutes earlier than Gabriel. Gabriel's jogging speed was 450 m/min and Julian's jogging speed was 150 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 Julian?
- What distance would Julian have jogged when Gabriel caught up with him? Express your answer in meters.
|
Gabriel |
Julian |
Speed |
450 m/min |
150 m/min |
Start time |
|
6 min earlier |
Extra distance covered at first |
|
900 m |
(a)
Distance that Julian covered when he jogged 6 minutes earlier
= 6 x 150
= 900 m
Distance that Gabriel covered more than Julian per min
= 450 - 150
= 300 m
Time that Gabriel needed to take to cover the additional 900 m
= 900 ÷ 300
= 3 min
(b)
Time that Julian would had jogged when Gabriel caught up with him
= 3 + 6
= 9 min
Distance that Julian would have jogged when Gabriel caught up with him
= 9 x 150
= 1350 m
Answer(s): (a) 3 min; (b) 1350 m