Question 125657
Rate*Time=Distance
{{{R[w]*T=D[w]}}} Westbound plane
{{{R[e]*T=D[e]}}} Eastbound plane
{{{D[w]+D[e]=2250}}} Total distance
{{{R[w]*T+R[e]*T=2250}}} Substitute
{{{R[w]*3+R[e]*3=2250}}}
{{{R[e]=R[w]-150}}} Eastbound plane travels 150 mph slower.
{{{R[w]*3+(R[w]-150)*3=2250}}}
{{{R[w]+(R[w]-150)=2250/3}}}Divide both side by 3.
{{{2R[w]-150=750}}}
{{{2R[w]=900}}}
{{{highlight(R[w]=450)}}}
{{{R[e]=R[w]-150}}}
{{{R[e]=450-150}}}
{{{highlight(R[e]=300)}}}
Westbound plane travels at 450 mph, eastbound plane at 300 mph.