Question 1050392
Ted's rate of working:
[ 40 bushels ] / [ 13 hrs ]
Katie's rate:
[ 40 bushels ] / [ 10 hrs ]
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Add their rates of working
to get their rate working together
Let {{{ t }}} = time in hrs if they
work together
You can call 40 bushels 1 job, so
{{{ 1/13 + 1/10 = 1/t }}}
Multiply both sides by {{{ 130t }}}
{{{ 10t + 13t = 130 }}}
{{{ 23t = 130 }}}
{{{ t = 5.652 }}} hrs
{{{ .652*60 = 39 }}}
It will take them 5 hrs 39 min working
together to pick 40 bushels
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check:
{{{ 1/13 + 1/10 = 1/5.652 }}}
{{{ .07692 + .1 = .17693 }}}
{{{ .17692 = .17693 }}}
close enough