How much time can be saved in traveling from Charlottesville to Roanoke at the new speed limit? Convert your answer to minutes.

Question

For many years, the posted highway speed limit was 88.5 km/hr, but in recent years, some rural stretches of highway have increased their speed limit to 104.6 km/hr. In the state of Virginia, the distance from Charlottesville to Roanoke is 183 km. How much time can be saved in traveling from Charlottesville to Roanoke at the new speed limit? Convert your answer to minutes.

Answer 1

distance = velocity times time traveled

d=vt or t=d/v

under old limit: t=183/88.5 = 2.0678 hours

under new limit: t=183/104.6 = 1.7495

subtract to get the time saved: 2.0678-1.7495 = 0.3183 hours, almost 20 minutes

Multiply 0.3183 by 60 minutes = 19.097 minutes = 19 minutes and 5.8 seconds faster