Evan is just leaving his house to visit his grandmother. Normally, the trip takes him 35 minutes on the freeway, going 70 mph. But tonight he's running 5 minutes late. How fast will he need to drive on the freeway to make up the 5 minutes?

Respuesta :

Answer:

Evan drive at speed = 81.67 m/hr

Explanation:

Normal speed of Evan = 70 m/hr

Time taken by Evan to visit his grandmother = 35 min = [tex]\frac{35}{60}[/tex] hr

Distance covered by Evan = [tex]{speed}\times{time taken}[/tex] = [tex]70\times\frac{35}{60}[/tex]

                                            = [tex]\frac{245}{6}[/tex] miles

According to the problem, one day Evan was running 5 minutes late. So, the time Evan has to visit his grandmother is 30 mins.

To reach on time, Evan should be drive at the speed :

Speed = [tex]\frac{Distance}{Time}[/tex]

           = [tex]\frac{\frac{245}{6} }{\frac{30}{60} }[/tex]

          = 81.67 m/hr