Alberta is going to have dinner at her grandmother's house, but she is running a bit behind schedule. As she gets onto the highway, she knows that she must exit the highway within 55

min

min

if she is not going to arrive late. Her exit is 43

mi

miHow much time would it take at the posted 60 mph speed?

away.

Respuesta :

Complete Question

Alberta is going to have dinner at her grandmother's house, but she is running a bit behind schedule. As she gets onto the highway, she knows that she must exit the highway within 55 min if she is not going to arrive late. Her exit is 43 mi away. How much time would it take at the posted 60 mph speed?

Answer:

The time it would take at the given speed is  [tex]x = 43.00 \ minutes[/tex]

Explanation:

From the question we are told that

      The time taken to exist the highway is  [tex]t = 55 min[/tex]

      The distance to the exist is  [tex]d = 43\ mi[/tex]

       Alberta speed is [tex]v = 60 mph[/tex]

The time it would take travelling at the given speed is mathematically represented as

        [tex]t_z = \frac{d}{v}[/tex]

  substituting values

        [tex]t_z = \frac{43}{60}[/tex]

        [tex]t_z = 0.71667\ hrs[/tex]

Converting to minutes

         1  hour =  60 minutes

So      0.71667 hours = x minutes

   Therefore

               [tex]x = 0.71667 * 60[/tex]

                [tex]x = 43.00 \ minutes[/tex]