Mr Patel is planning to drive 325 miles. He will stop one hour for lunch and take a 15 min rest break.

How many hours will the trip if he averages 65 mph?

A) 3 3/4

B)5

C)6

D)6 1/4

E)6.5

Respuesta :

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]

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