Question 305266
Write a separate equation or each car
Car traveling north:
{{{d[1] = r[1]*t[1]}}}
Car traveling south:
{{{d[2] = r[2]*t[2]}}}
given:
{{{d[1] + d[2] = 550}}} mi
{{{r[1] = r[2]}}} (call it {{{r}}})
Car 1 traveled north for {{{6}}} hrs
Car 2 traveled south for {{{4}}} hrs
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{{{d[1] = r*6}}}
{{{d[2] = r*4}}}
{{{d[2] = 550 - d[1]}}}
{{{550 - d[1] = 4r}}}
{{{550 - 6r = 4r}}}
{{{10r = 550}}}
{{{r = 55}}} mi/hr
check answer:
{{{d[1] = 6*55}}}
{{{d[1] = 330}}} mi
and
{{{d[2] = 4*55}}}
{{{d[2] = 220}}} mi
{{{330 + 220 = 550}}} mi
OK