Question 231237
D=RT or T=D/R
10=330/X+240/(X+5)
10=(330*(X+5)+240X)/X(X+5)
10=(330X+1,650+240X)/(X^2+5X)
10(X^2+5X)=570X+1,650
10X^2+50X-570X-1,650=0
10X^2-520X-1,650=0
10(X^2-52X-165)=0
10(X-55)(X+3)=0
X-55=0
X=55 MPH FOR THE 330 MILE TRIP.
55+5=60 MPH FOR THE 240 MILE TRIP.
PROOF:
10=330/55+240/60
10=6+4
10=10