Question
If you walk at a speed of 0.6 m/s for a distance of 100m, then run at a speed of 5.9 m/s for 100m, all in a straight line, what is your average speed? Use m/s and give units.
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Answer to a math question If you walk at a speed of 0.6 m/s for a distance of 100m, then run at a speed of 5.9 m/s for 100m, all in a straight line, what is your average speed? Use m/s and give units.
Timmothy
4.897 Answers
To find the average speed, we can use the formula:
average speed = total distance / total time
In this case, the total distance is 100m + 100m = 200m. Let's calculate the total time it takes to cover this distance.
For the walking portion, the distance is 100m and the speed is 0.6 m/s. Using the formula:
time = distance / speed
we can calculate the time it takes to walk 100m:
time = 100m / 0.6 m/s = 166.67 s (rounded to two decimal places)
For the running portion, the distance is also 100m and the speed is 5.9 m/s. Again, using the formula:
time = distance / speed
we can calculate the time it takes to run 100m:
time = 100m / 5.9 m/s = 16.95 s (rounded to two decimal places)
Now, let's calculate the total time by adding the walking time and the running time:
total time = 166.67 s + 16.95 s = 183.62 s (rounded to two decimal places)
Finally, we can calculate the average speed using the formula:
average speed = total distance / total time
average speed = 200m / 183.62 s = 1.09 m/s (rounded to two decimal places)
Therefore, the average speed is approximately 1.09 m/s
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