Question 906945
Average speed is ( total distance ) / ( total time )
Let {{{ d }}} = distance duck has to travel
{{{ d + 40 }}} = distance chicken has to travel
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Duck's rate of travel:
{{{ d/2 }}}
Chicken's rate of travel:
{{{ ( d + 40 ) / 3 }}}
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You are given that:
{{{ ( d + 40 ) / 3 = d/2 + 5 }}}
Multiply both sides by {{{ 6 }}}
{{{ 2*( d + 40 ) = 3d + 30 }}}
{{{ 2d + 80 = 3d + 30 }}}
{{{ d = 50 }}}
{{{ d + 40 = 90 }}}
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The duck's average rate is:
{{{ d/2 = 50/2 }}}
{{{ d/2 = 25 }}} mi/hr
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The chicken's average rate is:
{{{ ( d+40 ) / 3 = 90/3 }}}
{{{ ( d+40 ) / 3 = 30 }}} mi/hr