If x1 is the number of cars taking the ABD route and x2 is the number of cars taking the ACT route, write a linear expression for the travel time of a car taking the ABD route. Do the same for the ADD route.

Question

Emmalee Francis

Mathematics

22 August, 01:57

If x1 is the number of cars taking the ABD route and x2 is the number of cars taking the ACT route, write a linear expression for the travel time of a car taking the ABD route. Do the same for the ADD route.

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Answers (1)

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Janelle Case · Answer 1

The travel time for the car = Distance (Route-ABD) / Velocity of the car

t = d/v, where t is the travel time of the car, d is the distance traveled by the car along ABD, v is the velocity of the car.

For ADD route, ADD distance not mentioned in the question.

Notwithstanding, the travel time is given as:

t = Distance (ADD) / v

Step-by-step explanation:

The velocity is a physical quantity, which is defined as the rate of change of displacement with time.

That is, velocity = Displacement/time.

OR

Velocity (or speed) = Distance covered/traveled time.

The car is the question above traveled a distance (say d-meters) in the given route (ABD). It covered the distance in time, t (secs) with a velocity of v (m/s).

From the equation for velocity

v = d/t.

Making t the subject of formula,

travel time, t = d/v