Emily takes a trip, driving with a constant velocity of 89.5 km/h to the north except for a 22 min rest stop. If Emily's average velocity is 70.8 km/h to the north, how long does the trip take?

Answer 1

Let t be the total time the trip takes in hours. We can form an equation from the statement: (89.5*(t-22/60))/(t)=70.8

First, we need to solve for t:

89.5*t - 89.5*(22/60) = 70.8*t
89.5*t - 33.07 = 70.8*t
18.7*t = 33.07
t = 1.77 hours

Now, we need to convert 1.77 hours into hours and minutes:

1 hour + 0.77 hours * (60 minutes / 1 hour) = 1 hour 46 minutes

The trip takes 1 hour 46 minutes.