I need to answer this question it super hard
2 answers:
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Rachel and her sister Fran together can paint the living room in hours
Given that
Rachel can paint half of the living room in 1 hour
Fran can paint th part of the living room in 1 hour
Let's assume together they paint the living room in x hours
⇒ together they can paint th part of the living room in 1 hour
By proportions,
⇒+
=
{using operation proportions and addition}
⇒=
⇒x=
⇒ together they can paint th part of the living room in 1 hour
It means, Rachel and her sister Fran together can paint the living room in hours
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Let Jean's speed while running = x mph
Then Jean's speed while riding will be = x+9 mph
Distance covered by running = 8 miles
Distance covered by riding = 11 miles
Total time taken to complete the race = 1.5 hours
As,
So, time for running=
And time for riding=
Equation becomes:
Now, multiply every term by 2x(x+9) to clear denominators:
Simplifying it we get
Solve the quadratic equation using formula
putting a=3 , b= -11, c= -144
we get (x - 9)(3x + 16) = 0
where x=9 and x=
Neglect the negative answer as speed cannot be negative, so x = 9 mph
Hence, Jean's running speed is 9 mph and riding speed is x+9 = 9+9 = 18 mph