Question

Daniel can paint a house in 10 days, while his father can paint the same house in 6 days. If they work together, how long will they finish the job? I need asap answer plssss

Answer 1

Answer:

3$\frac{3}{4}$ days

Step-by-step explanation:

Let the amount of work be x.

Daniel:

10 days = x

1 day = $\frac{1}{10}$x

Father:

6 days = x

1 day = $\frac{1}{6}$x

Together:

1 day = $\frac{1}{10}$x + $\frac{1}{6}$x

        = $\frac{6}{60}$x + $\frac{10}{60}$x

        = $\frac{16}{60}$x

        = $\frac{4}{15}$x

No. of days = $\frac{15}{15}$x ÷ $\frac{4}{15}$x

                   = $\frac{15}{15}$x × $\frac{15}{4}$x

                   = $\frac{225}{60}$

                   = 3$\frac{3}{4}$