Question 68122
It's important to see that the constant in this problem is the equal
times that it takes each child to meet the other.({{{t[1] = t[2]}}})
{{{t[1] = d[1] / r[1]}}}
{{{t[2] = d[2] / r[2]}}}
{{{d[1] = d}}}
{{{d[2] = 224 - d}}}
{{{d / 1.5 = (224 - d) / 2}}}
{{{2d = 1.5(224 - d)}}}
{{{2d = 336 - 1.5d}}}
{{{3.5d = 336}}}
{{{d = 96}}}
Now find t
{{{t[1] = d / r[1]}}}
{{{t[1] = 96 / 1.5}}}
{{{t[1] = 64}}} sec answer
check
{{{t[2]}}} should equal {{{t[1]}}}
{{{t[2] = d[2] / r[2]}}}
{{{t[2] = (224 - d) / 2}}}
{{{t[2] = 128 / 2}}}
{{{t[2] = 64}}} sec
OK