The direct variation that of the speed to the skid length implies that the speed increases as the length increases
The car would be traveling at 59.96 mph
<h3>How to determine the speed of the skidding car?</h3>
A direct variation that illustrates the speed of the skidding car is:
s = k√l
Where:
- s represents the speed of the car
- l represents the length of the skid
- k represents the proportionality constant
Make k the subject in s = k√l
k = s /√l
Rewrite as:
s₁ /√l₁ = s₂ /√l₂
Substitute known values
40 /√178 = s₂ /√400
Evaluate the square root of 40
40 /√178 = s₂ /20
Multiply both sides by 20
800 /√178 = s₂
Evaluate the quotient
s₂ = 59.96
Hence, the car would be traveling at 59.96 mph
Read more about direct variation at:
brainly.com/question/6974617
