Question 169635
Rate x Time=Distance
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The distance car 1 travels is,
{{{R[1]*t=D[1]}}}
The distance car 2 travels is,
{{{R[2]*t=D[2]}}}
The total distance traveled is the sum of these,
{{{D=D[1]+D[2]}}}
{{{D=R[1]*t+R[2]*t}}}
{{{R[1]*(5)+R[2]*(5)=520}}}
{{{5(R[1]+R[2])=520}}}
Simplify.
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1.{{{R[1]+R[2]=104}}}
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You also know that one car is 4 mph faster than the other,
{{{R[2]=R[1]+4}}}
Substitute this information into eq. 1,
1.{{{R[1]+R[2]=104}}}
{{{R[1]+(R[1]+4)=104}}}
{{{2R[1]+4=104}}}
{{{2R[1]=100}}}
{{{highlight(R[1]=50)}}}
From above,
{{{R[2]=R[1]+4}}}
{{{R[2]=50+4}}}
{{{highlight(R[2]=54)}}}