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ahrayia [7]
3 years ago
7

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
2 answers:
GrogVix [38]3 years ago
7 0

Answer:

120 miles

Step-by-step explanation:

Travka [436]3 years ago
3 0

Answer:

120 miles

Step-by-step explanation:

we know that

The speed is equal to the distance divided by the time

Let

s------> the speed in mph

d-----> the distance in miles

t -----> the time in hours

s=d/t

solve for the distance

d=s*t

<em>It will take Adam four hours to drive to Disney Park</em>

s=x mph

t=4 h

substitute

d=4x -----> equation A

<em>It will take Adam 2.5 times less time if driving 45 mph faster</em>

so

s=(x+45) mph

t=4/2.5=1.6 h

substitute

d=1.6(x+45) -----> equation B

equate equation A and equation B

4x=1.6(x+45)

Solve for x

4x=1.6x+72

4x-1.6x=72

2.4x=72

x=30 mph

Find the distance d

d=4x -----> d=4(30)=120 miles

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