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

3
`(3)/(4)` days

Explanation:

Let the amount of work be x.

Daniel:

10 days = x

1 day =
`(1)/(10)`x

Father:

6 days = x

1 day =
`(1)/(6)`x

Together:

1 day =
`(1)/(10)`x +
`(1)/(6)`x

=
`(6)/(60)`x +
`(10)/(60)`x

=
`(16)/(60)`x

=
`(4)/(15)`x

No. of days =
`(15)/(15)`x ÷
`(4)/(15)`x

=
`(15)/(15)`x ×
`(15)/(4)`x

=
`(225)/(60)`

= 3
`(3)/(4)`