The bailey family is traveling 565.5 miles for a family vacation. if
they estimate they can travel 78 miles per hour, then how many hours
will take for the baileys to arrive?

7.25 hours (or 7 hr 15 minutes)

Step-by-step explanation:

Lets use the distance equation to solve this problem. This is very easy...

Distance Equation

D = RT

Where

D is the distance (in miles)

R is the rate (in mi/hr)

T is the time (in hours)

Given in the problem:

Distance = D = 565.5 miles

Rate = R = 78 miles per hour

We want T, the time in hours it will take to drive. So we substitute the known parameters into the formula and  solve for T:

So, it is going to take around 7.25 hours for them to arrive.

The extra 0.25 hours means:

0.25 Hours * 60 Minutes/Hour = 15 minutes

Or, we can say it will take 7 hours and 15 minutes for them to arrive.

or

step-by-step explanation:

we need to solve for 'x' the following equation:  

we have that:

⇒

⇒ ⇒

factorizing, we get that:

  ⇒

then, the solutions are: or

nothing extraneous has been found!