Question 1125733
Let {{{ d[1] }}} = Melanie痴 head start in miles
{{{ 87*5 = 435 }}} = distance Nancy travels 
Until she catches up with Melanie
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Melanie痴 equation:
(1) {{{ 435 - d[1] = 78*5 }}}
(1) {{{ d[1] = 435 - 390 }}}
(1) {{{ d[1] = 45 }}}
Melanie痴 time to travel {{{ d[1] }}} is:
{{{ t[1] = d[1] / 78 }}}
{{{ t[1] = 45/78 }}}
{{{ t[1] = .577 }}} hrs
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Check the math