Question 954910
W=wind speed
{{{600mi/(300mph+W)=400mi/(300mph-W)}}} Multiply each side by (300mph-W)(300mph+W)
{{{600mi(300mph-W)=400mi(300mph+W)}}}
{{{180000-600W=120000+400W}}} Subtract 120000 from each side.
{{{60000-600W=400W}}} Add 600W to each side.
{{{60000=1000W}}} Divide each side by 1000
{{{60=W}}} ANSWER: The wind speed is 60 mph.
CHECK:
{{{600mi/(300mph+W)=400mi/(300mph-W)}}}
{{{600mi/(300mph+60mph)=400mi/(300mph-60mph)}}}
{{{600mi/360mph=400mi/240mph}}}
{{{1.67hr=1.67hr}}}