Answer:
\(2\frac{7}{12}\) hours or 2 hours 35 minutes.
Step-by-step explanation:
A trip to Portland, Oregon from Boston will take = \(7\frac{3}{4}\) hours
We are finished = \(\frac{2}{3}\) of the trip
= \(\frac{2}{3}\) × \(7\frac{3}{4}\)
= \(\frac{2}{3}\) × \(\frac{31}{4}\)
= \(\frac{62}{12}\)
= \(\frac{31}{6}\)
= \(5\frac{1}{6}\) hours of the trip completed.
Now we will subtract from the total time of trip to completed time of trip.
= \(7\frac{3}{4}\) - \(5\frac{1}{6}\)
= \(\frac{31}{4}\) - \(\frac{31}{6}\)
= \(\frac{93-62}{12}\)
= \(\frac{31}{12}\)
= \(2\frac{7}{12}\) hours = 2.58 hours or 2 hours 35 minutes
The trip will take \(2\frac{7}{12}\) hours
