Question 944910
Let {{{ r }}} = his rate on the cycling tour
Let {{{ d }}} = distance of the cycling tour in miles
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Equation for the tour:
{{{ d = r*50 }}}
Equation for return trip:
{{{ d = ( r + 1 )*45 }}}
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By substitution:
{{{ 50r = 45r + 45 }}}
{{{ 5r = 45 }}}
{{{ r = 9 }}}
{{{ r + 1 = 10 }}}
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His rate on the return trip was 10 mi/hr
check:
{{{ d = r*50 }}}
{{{ d = 9*50 }}}
{{{ d = 450 }}}
and
{{{ d = ( r + 1 )*45 }}}
{{{ d = 10*45 }}}
{{{ d = 450 }}}
OK