For many years, the posted highway speed limit was 88.5 km/hr (55 mi/hr) but in recent years some rural stretches of highway have increased their speed limit to 104.6 km/hr (65 mi/hr). In Maine, the distance from Portland to Bangor is 215 km. How much time can be saved in making this trip at the new speed limit?

Respuesta :

Answer:

0.37 hours (22.2 minutes)

Explanation:

The time taken to cover the distance from Portland to Bangor is given by

[tex]t=\frac{d}{v}[/tex]

where

d = 215 km is the distance

v is the speed

- With the old speed limit (v = 88.5 km/h), the time taken was:

[tex]t_1=\frac{215 km}{88.5 km/h}=2.43 h[/tex]

- With the new speed limit (v = 104.6 km/h), the time taken is:

[tex]t_2=\frac{215 km}{104.6 km/h}= 2.06 h[/tex]

So, the time saved is

[tex]\Delta t = t_1 -t_2 = 2.43 h - 2.06 h = 0.37 h[/tex]

And if we want to convert in minutes, we have:

[tex]1 h : 60 min = 0.37 h : x\\x = \frac{0.37 h \cdot 60 min}{1 h}=22.2 min[/tex]