Question 1026885
Ad their rates of working
Terrell's rate:
[ 1 garden ] / [ 83 min ]
His wife:
[ 1 garden ] / [ 63 min ]
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Let {{{ t }}} = their time working together
{{{ 1/83 + 1/63 = 1/t }}}
Multiply both sides by {{{ 83*63t }}}
{{{ 63t + 83t = 63*83 }}}
{{{ 146t = 5229 }}}
{{{ t = 35.815 }}}
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It takes them 35.8 min working together
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check:
{{{ 1/83 + 1/63 = 1/t }}}
{{{ 1/83 + 1/63 = 1/35.8 }}}
{{{ .01205 + .01587 = .02793 }}}
{{{ .02792 = .02793 }}}
Error due to rounding off, I think