How many hours will a car traveling at 65 miles per hour take to catch up to a car traveling at 55 miles per hour if the slower
1 answer:
It will take the first car 5.5 hours to catch up to the second car.
Step-by-step explanation:
Speed of second car = 55 miles per hour
As the car has started one hour before; it has already traveled
Distance = Speed * Time
Distance = 55*1 = 55 miles
Let,
x be the number of hours.
Distance covered in x hours = 55x
S(x) = 55x+55
Speed of first car = 65 miles per hour
Distance covered in x hours = 65x
F(x) = 65x
For catching up;
F(x) = S(x)
Dividing both sides by 10
It will take the first car 5.5 hours to catch up to the second car.
Keywords: speed, distance
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The critical f-value when the sample size for the numerator and the denominator is given using a two-tailed test will be 0.12 and 14.88.
We have,
The sample size for the numerator = 6,
i.e.
Numerator degree of freedom = 6 - 1 = 5,
And,
The sample size for the denominator = 4,
i.e.
Denominator degree of freedom = 4 - 1 = 3
And,
We have to use a two-tailed test,
So,
The significance level = = 0.05
And,
Now,
The test follows the F-distribution with (5, 3) degrees of freedom,
Now,
Using the F-table at significance level 0.05 and check for given degrees of freedom,
We get,
Critical f-values : 0.12 and 14.88
Hence, we can say that the critical f-value when the sample size for the numerator and the denominator is given using a two-tailed test will be 0.12 and 14.88.
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