Question 766530
Cara and Craig working together can weed the garden in 6 hours. Working alone Craig takes 3 times as much as Cara. How long does it take Kara to weed the garden alone.
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let x=amount of time it takes Kara to weed the garden alone
1/x=her work rate
3x=amount of time it takes Craig to weed the garden alone
1/3x=his work rate
1/6=work rate Kara and Craig working together
sum of individual work rates=work rate working together
{{{1/x+1/3x=1/6}}}
LCD:6x
6+2=x
x=8
amount of time it takes Kara to weed the garden alone=8 hrs