Question 678025
Let {{{ c }}} = the speed of the current
{{{ 16 - c }}} = the boat's speed going upstream
{{{ 16 + c }}} = the boat's speed going downstream
given:
Going upstream:
(1) {{{ d = ( 16 - c )*(1/3) }}}
Going downstream:
(2) {{{ d = ( 16 + c )*(1/4) }}}
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Substitute (1) into (2)
{{{ ( 16 - c )*(1/3) = ( 16 + c )*(1/4) }}}
Multiply both sides by {{{ 12 }}}
{{{ 4*( 16 - c ) = 3*( 16 + c ) }}}
{{{ 64 - 4c = 48 + 3c }}}
{{{ 7c = 16 }}}
{{{ c = 16/7 }}}
{{{ c = 2.286 }}}
The current's speed is 2.286 mi/hr