Question 846211
Let {{{ d }}} = distance to fitness center
Let {{{ t  }}} = time to get there
{{{ t = d/6 }}} hrs
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{{{ 1.5 }}} hrs = {{{ 90 }}} min
{{{ 90 - 45 = 45 }}}
Her time spent traveling is {{{ 45 }}} min
or {{{ 3/4 }}} hrs
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Her time coming home is:
{{{ t = d/48 }}} hrs
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{{{ d/6 + d/48 = 3/4 }}}
Multiply both sides by {{{ 48 }}}
{{{ 8d + d = 36 }}}
{{{ 9d = 36 }}}
{{{ d = 4 }}}
the distance from the home to the fitness center
is 4 km