Option D
The trip lasts for [tex]6\frac{1}{4}\ hours[/tex]
Solution:
Mr Patel is planning to drive 325 miles
Average speed is 65 mph
He will stop one hour for lunch and take a 15 min rest break
Let us first find the time taken
[tex]Time = \frac{distance}{speed}[/tex]
[tex]Time = \frac{325}{65}\\\\Time = 5[/tex]
Thus he covers 325 miles in 5 hours
Also, given that, he will stop one hour for lunch and take a 15 min rest break
Therefore, total time taken for trip is:
Total time = 5 hours + 1 hour + 15 minutes
Total time = 6 hours 15 minutes
We know that,
1 hour = 60 minutes
Therefore,
[tex]6\ hours\ 15\ minutes\ = 6 + \frac{15}{60}\ hours = 6 + \frac{1}{4} = 6\frac{1}{4}\ hours[/tex]
Thus the trip lasts for [tex]6\frac{1}{4}\ hours[/tex]