Gabriel and Valen started jogging from the same point. Valen started jogging 8 minutes earlier than Gabriel. Gabriel's jogging speed was 400 m/min and Valen's jogging speed was 350 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 Valen?
- What distance would Valen have jogged when Gabriel caught up with him? Express your answer in meters.
|
Gabriel |
Valen |
Speed |
400 m/min |
350 m/min |
Start time |
|
8 min earlier |
Extra distance covered at first |
|
2800 m |
(a)
Distance that Valen covered when he jogged 8 minutes earlier
= 8 x 350
= 2800 m
Distance that Gabriel covered more than Valen per min
= 400 - 350
= 50 m
Time that Gabriel needed to take to cover the additional 2800 m
= 2800 ÷ 50
= 56 min
(b)
Time that Valen would had jogged when Gabriel caught up with him
= 56 + 8
= 64 min
Distance that Valen would have jogged when Gabriel caught up with him
= 64 x 350
= 22400 m
Answer(s): (a) 56 min; (b) 22400 m