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Sarah went on a 36 mile trip to a soccer game. On the way back, due to road construction she had to drive 18 miles per hour slower. This made the trip take 1 hour longer. How fast did she drive to the soccer game?

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3 votes

Answer:

Hi Suuuman the answer for your deleted question is OP = 7.75

Explanation:

– 2x + 23 and -8 + 2x = 23 - 2x and -8 + 2x = x= 31 /4 =7 3/4 =7.75 measure of OP = – 2 ( 7.75) + 23 = -15.5 + 23 = 7.75

Explanation:

Answer for this question Sarah went on a 36 mile trip to a soccer game. On the way back, due to road construction she had to drive 18 miles per hour slower. This made the trip take 1 hour longer. 36 = 18 +18(a+1)How fast did she drive to the soccer game? let the returning speed be x mphgoing to game speed = x+18 Answer is 18 km/h while returning

Step-by-step explanation: Distance = 36

1 hour more while returning

time return - time going = 1

36/x - 36/(x+18) = 1

LCD= x ( x + 18 )

multiply by LCD

36 ( x + 18 ) - 36 x = 1 x ( x + 18 )

36*18=

36 x + 648 - 18 x = 1x ^2 + 18 x

648 = 1 x^2 - 18 x

x^2 + 18 x -648 = 0

x^2 +36x-18x-648=0

x(x+36)-18(x+36)=0

(x-18)(x+36)=0

x=-36 or 18

x =18

18 km/h while returning

while going speed = 18+18 = 36 km/h

SuuuuMan deseres all the credits as someone deleted his first ever question in error and i was shocked to see as no diagram was needed there or here -see answer in this post instead- and have requested moderators get SuuuMan an appology ok as and while you both learn the any ways to interprete x and setting both amounts to 0 and or setting amounts to = each other to find the value of x

User Gurkan ?Lleez
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4 votes
Can you send a picture of the question?
User Dbaer
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