Question

The driving time varies inversely with the speed of the car if a certisn trip takes 40 min utes when you travel 50 miles per hour how many minutes would it take if u travel 40 miles per hour

Answer 1

The value is
`t_2 = 50 \ minutes`

Explanation:

From the question we are told that

The driving time varies inversely with the speed of the car

The amount of time a trip at a velocity of
`v_1 = 50 \ mph` takes is
`t_1 = 40`minutes

Let

v represent the velocity

while t represent the time

So

`t \ \ \alpha \ \ (1)/(v)`

=>
`t \ \ = k \ \ (1)/(v)`

=>
`k = vt`

=>
`v_1 * t_1 = v_2 * t_2`

From the question we are given
`v_2 = 40 \ mph` and we are told to find
`t_2`

So

`t_2 = (v_1 * t_1)/(v_2)`

=>
`t_2 = ( 50 * 40)/(40)`

=>
`t_2 = 50 \ minutes`