It will take the cheetah 4 seconds to run 80 yards.
Step-by-step explanation:
Given,
Distance covered by Cheetah in 5/2 seconds = 50 yards
Ratio of distance to time = [tex]50:\frac{5}{2}[/tex]
Let,
x be the time required to cover 80 yards.
Ratio of distance to time = 80 : x
Using proportion;
Ratio of distance to time :: Ratio of distance to time
[tex]50:\frac{5}{2}::80:x[/tex]
Product of extreme = Product of mean
[tex]50*x=\frac{5}{2}*80\\50x=\frac{400}{2}\\50x=200[/tex]
Dividing both sides by 50
[tex]\frac{50x}{50}=\frac{200}{50}\\x=4[/tex]
It will take the cheetah 4 seconds to run 80 yards.
Keywords: ratio, division
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