Question 1110970
Ryan's rate of eating:
[ 1 box ] / [ 14 days ]
His brother's rate:
[ 1 box ] / [ t days ]
Their rate eating together:
[ 1 box ] / [ 10 days ]
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Add their separate rates to get their
rate eating together
{{{ 1/14 + 1/t = 1/10 }}}
Multiply both sides by {{{ 70t }}}
{{{ 5t + 70 = 7t }}}
{{{ 2t = 70 }}}
{{{ t = 35 }}}
Ryan takes 35 days eating alone
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check:
{{{ 1/14 + 1/35 = 1/10 }}}
{{{ 5/70 + 2/70 = 7/70 }}}
{{{ 7/70 = 7/70 }}}
OK