Question

A painter can paint a building in 4 days and his apprentice can do it in 6 days. How long
will it take them to paint this building if they work together on it except for one day when
the painter is ill and the apprentice works alone?

Answer 1

Step-by-step explanation:

Given:

• A painter can paint a building in 4 days and his apprentice can do it in 6 days.

To Find:

• How long will it take them to paint this building if they work together on it except for one day whenthe painter is ill and the apprentice works alone?

Solution:

Painter's 1 day's work=1/4

His apprentice's 1 day's work=1/6

(Painter+His apprentice)'s 1 day's work

→1/4+1/6

→3+2/12=5/12

Remaining work=1-5/12=12-5/12=7/12

Time taken by apprentice to complete the remaining work=7/12÷1/6

→7/12×6

→7/2

→3 1/2 days