Sebastien is taking part in a race.
For the first 160 m he runs at 4 m/s. The remaining 300 m of the race takes him 120 seconds.
What is Sebastien’s average speed, in m/s, over the whole race? If your answer is a decimal, give it to 2 d.p.
Sebastien’s average speed in a race
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To find Sebastien’s average speed over the whole race, we need to calculate the total distance he ran and the total time it took him to run that distance.
1. Total Distance:
– First part of the race: 160 m
– Second part of the race: 300 m
– Total distance = 160 m + 300 m = 460 m
2. Total Time:
– Time for the first part:
[
text{Time} = frac{text{Distance}}{text{Speed}} = frac{160 text{ m}}{4 text{ m/s}} = 40 text{ seconds}
]
– Time for the second part: 120 seconds
– Total time = 40 seconds + 120 seconds = 160 seconds
3. Average Speed:
– Average speed = (frac{text{Total Distance}}{text{Total Time}})
– Average speed = (frac{460 text{ m}}{160 text{ seconds}} = 2.875 text{ m/s})
Now, rounding it to 2 decimal places, Sebastien’s average speed is 2.88 m/s.
Feel free to ask if you have any further questions or need more help!