Hi,

 D = r*t or r = D/t

Let r and (r-5) represent speeds for 1st and 22nd parts of the trip respectivley

  63/r + 7/(r-5)= 5hrs |Multiplying thru by r(r-5)so as all denominators = 1

 63(r-5) + 7r = 5r(r-5)

  5r^2 -95r + 315 = 0



r = 14.72  or r =  4.28(can't use, throw out)

r = 14.72mph for the 1st part and 9.72mph for the 2nd part



a quadratic equation having the given numbers as solutions -3, -1 

f(x) = a(x+3)(x+1) |a=1  then x^2+4x+3 would be one such EQ 

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