Question 800426
Gazelle's equation:
{{{ d = 47t }}}
Cheetah's equation:
{{{ d + 1 = 65t }}}
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{{{ d }}} is the distance in miles that the gazelle
goes when the cheetah catches it
{{{ d + 1 }}} is the distance the cheetah goes
when it catches the gazelle, so the
right expression is {{{ 65t }}}
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By substitution:
{{{ 47t + 1 = 65t }}}
{{{ 18t = 1 }}}
{{{ t = 1/18 }}}
The cheetah runs for 1/18 of an hour
{{{ 60/18 = 3.333 }}} min
{{{ .333*60 = 20 }}}
The cheetah runs for 3 min 20 sec