Question 725213
Let {{{ c }}} = the speed of the current in km/hr
going against the current the canoe's speed is
{{{ 14 - c }}} km/hr
going with the current the canoe's speed is
{{{ 14 + c }}} km/hr
Let {{{ d }}} = the one-way distance the canoe travels
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With the current:
{{{ d = ( 14 + c )*2 }}}
Against the current:
{{{ d = ( 14 - c )*5 }}}
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By substitution:
{{{ ( 14 + c )*2 = ( 14 - c )*5 }}}
{{{ 28 + 2c = 70 - 5c }}}
{{{ 7c = 42 }}}
{{{ c = 6 }}} km/hr
check:
{{{ d = ( 14 + 6 )*2 }}}
{{{ d = 40 }}} km
and
{{{ d = ( 14 - 6 )*5 }}}
{{{ d = 40 }}} km
OK