Answer:
12 days
Step-by-step explanation:
Let the amount of work be x.
John:
6 days = x
1 day = [tex]\frac{1}{6}[/tex]x
Together:
4 days = x
1 day = [tex]\frac{1}{4}[/tex]x
Marsha:
1 day = [tex]\frac{1}{4}[/tex]x - [tex]\frac{1}{6}[/tex]x
= [tex]\frac{6}{24}[/tex]x - [tex]\frac{4}{24}[/tex]x
= [tex]\frac{2}{24}[/tex]x
= [tex]\frac{1}{12}[/tex]x
Marsha can do [tex]\frac{1}{12}[/tex] of the work in 1 day.
No. of days taken (Marsha) = x ÷ [tex]\frac{1}{12}[/tex]x
= 12
