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Sunny_sXe [5.5K]
3 years ago
14

It will take Adam four hours to drive to Disney Park, and 2.5 times less time if driving 45 mph faster. What is the distance Ada

m should cover to get to the park?
Mathematics
1 answer:
Mashcka [7]3 years ago
8 0
<h2>Hello!</h2>

The answer is:

The distance to over by Adam to get to the park is 108 miles.

<h2>Why?</h2>

To solve the problem, we need to write two equations using he given information about the times and his speed.

So,

For the first equation we have: Travel to Disney Park

time=4hours

Distance=v*4hours

For the second equation we have: Travel back from Disnery Park

time=4hours-2.5hours=1.5hours

Speed=v+45mph

Distance=(v+45mph)*1.5hours

Then, if Adam covered the same distance going and coming back, we have:

v*4hours=(v+45mph)*1.5hours

v*4hours=v*1.5hours+45mph*1.5hours

v*4hours-v*1.5hours=45mph*1.5hours

v*2.5hours=67.5miles

v=\frac{67.5miles}{2.5hours}=27\frac{miles}{hour}=27mph

We have that the speed when he was going to Disney Park was 27 mph.

Now, to calculate the distance, we need to substitute the obtained speed in any of the two first equations.

Therefore, substituting the speed into the second equation, we have:

Distance=(v+45mph)*1.5hours

Distance=(27mph+45mph)*1.5hours=72mph*1.5hours=108miles

Hence, we have that the distance that Adam should cover to get to the park is 108 miles.

Havea nice day!

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▪️Learn more about finding the equation of a line that is parallel to another one here:

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