<PRE><B>Question 230585</B>
Given: Miles Total (Mt) = 317mi, Time = 5h - 45min

Our first equation: 317mi = {X*58mi/h} + {Y*52mi/h}

I converted the minutes to hours:
5h 45min = 5.75h     ((45m/(60m/h))=.75

Our second equation: 5.75h = X + Y

Solve the 2nd equation for X:
5.75 = X + Y  (Subtract Y from both sides)
5.75 - Y = X

Substitute 5.75h - Y in for X in Equation 1:
317mi = {{5.75h - Y} * 58mi/h} + {Y * 52mi/h}
317mi = {5.75h * 58mi/h} - {Y * 58mi/h} + {Y * 52mi/h}   Then simplify
317mi = 333.5mi - Y*6mi/h    Then add Y*6mi/h and -317mi to both sides
Y*6mi/h = 333.5mi - 317mi
Y*6mi/h = 16.5mi  Then divide both sides by 6mi/h
Y = 2.75h

Plug 2.75h in for Y in the second equation:
5.75h = X + Y
5.75h = X + 2.75    Subtract 2.75 from both sides
3h = X

</PRE>