Question 188564
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Remember, since Kim can mow the greens 2 times faster than you are, so the amount of time you mow is double that of Kim.


Let Kim= <font color=blue>x </font>hours
I = <font color=blue>2x</font> hours


Kim + I = 4 hours
{{{1/x + 1/(2x) =1/4}}}
{{{(2+1)/2x=1/4}}},
{{{3/2x=1/4}}}, cross multiply
{{{3*4=2x*1}}}} ---> {{{12=2x}}} ---->{{{cross(12)6/cross(2)=cross(2)x/cross(2)}}}
x=<font color=blue>6 hours</font> Kim 
2x=2*6=<font color=red>12 hours</font> Alone (Answer)


Check, {{{1/6 + 1/12 = 1/4}}}
{{{(2+1)/12=1/4}}}
{{{3/12=1/4}}}
{{{1/4=1/4}}}


Thank you,
Jojo</font>