The car will take 23 minutes to complete the trip if in a car trip, the time of trip is inversely proportional to the speed travelled.
It is defined as the relationship between two variables when the first variable increases, the second variable also increases according to the constant factor.
Let T is the time and S is the speed.
Then,
T ∝ 1/S
T = k/S
k is the constant of proportionality
Plug T = 41 minutes = 0.683 hour and S = 46 mph
0.683 = k/46
k = 31.418 m
T = 31.418/S
Plug S = 82 mph
T = 31.418/82 = 0.383 hour (multiply it by 60 to convert it into the minutes)
T = 22.988 minutes ≈ 23 minutes
Thus, the car will take 23 minutes to complete the trip if in a car trip, the time of trip is inversely proportional to the speed travelled.
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