Answer:
however long it took him to run 200 meters x 2
Step-by-step explanation:
200 x 2 = 400
so
the ratio is 1:2
to keep this ratio you must multiply whatever he ran x 2 to get your answer
The time It will take Usain Bolt to run 400 m is twice the time of 200 m.
The given parameters:
first distance of Usain Bolt= 400 meters
second distance Usain Bolt = 200 meters
To find:
Let the average speed of Usain Bolt in the 400 m = y
then, his average speed in the 200 m = y, since they are equal.
Average speed is calculated as;
[tex]Average \ speed = \frac{distance }{time} \\\\distance = average \times time[/tex]
Let the time taken by Usain Bolt to run 400 m = t₁
Let the time taken by Usain Bolt to run 200 m = t₂
To determine the time it takes him to run 400 m, we set up the following algebraic equations.
400 = yt₁ ---(1)
200 = yt₂ --- (2)
From the above equations, we solve for t₁ in terms of t₂
[tex]y = \frac{400}{t_1} = \frac{200}{t_2} \\\\\frac{400}{t_1} = \frac{200}{t_2} \\\\200t_1 = 400t_2\\\\t_1 = \frac{400t_2}{200} \\\\t_1 = 2t_2[/tex]
Thus, it takes Usain Bolt twice the time of 200 m to run 400 m
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