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

Answer:

The value is $t_2 = 50 \ minutes$    

Step-by-step 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  

       $t \ \ \alpha \ \ \frac{1}{v}$

=>    $t \ \ = k \ \ \frac{1}{v}$

=>    $k = vt$

=>   $v_1 * t_1 = v_2 * t_2$

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

So

      $t_2 = \frac{v_1 * t_1}{v_2}$

=>   $t_2 = \frac{ 50 * 40}{40}$      

=>   $t_2 = 50 \ minutes$