Answer:
3[tex]\frac{3}{4}[/tex] days
Step-by-step explanation:
Let the amount of work be x.
Daniel:
10 days = x
1 day = [tex]\frac{1}{10}[/tex]x
Father:
6 days = x
1 day = [tex]\frac{1}{6}[/tex]x
Together:
1 day = [tex]\frac{1}{10}[/tex]x + [tex]\frac{1}{6}[/tex]x
= [tex]\frac{6}{60}[/tex]x + [tex]\frac{10}{60}[/tex]x
= [tex]\frac{16}{60}[/tex]x
= [tex]\frac{4}{15}[/tex]x
No. of days = [tex]\frac{15}{15}[/tex]x ÷ [tex]\frac{4}{15}[/tex]x
= [tex]\frac{15}{15}[/tex]x × [tex]\frac{15}{4}[/tex]x
= [tex]\frac{225}{60}[/tex]
= 3[tex]\frac{3}{4}[/tex]
