<PRE><B>Question 970072</B>
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w=rate of wind
Time=distance/rate Since times are the same:
1560mi/460mph+w=1200mi/460mph-w Cross multiply.
1560mi(460mph-w)=1200mi(460mph+w)
717600mi^2/h-(1560w)mi=552000mi^2/h+(1200w)mi Subtract 552000mi^2/h from each side.
165600mi^2/h-(1560w)mi=(1200w)mi Add (1560w)mi to each side.
165600mi^2/h=(2760w)mi Divide each side by 2760mi
60 mi/h=w
ANSWER: The rate of the wind was 60 miles per hour.
.
CHECK:
1560mi/460mph+w=1200mi/460mph-w
1560mi/460mph+60mph=1200mi/460mph-60mph
1560mi/520mph=1200mi/400mph
3hrs=3hrs</PRE>