Mr. Vella can build a brick wall in 4 days. His apprentice can build the same wall in 6 days. After working alone for 3 days, Mr. Vella became ill and left the job for his apprentice to complete. How many days did it take the apprentice to finish the wall?

Respuesta :

After working for 3 days, Mr. Vella has finised 3/4 of the work. so for the assistant, 3/4 of 6 is 9/2 which is 4 1/2. So 4 1/2 days of work has been done for the apprentice, so 6 - 4 1/2 = 1 1/2. The apprentice finished the wall in 1 1/2 days. 

Apprentice will take [tex]1\frac{1}{2}[/tex] days  to finish the wall.

What is work?

" Work is defined as when force is applied to move an object in the direction of displacement."

According to the question,

Number of days taken by Vella to build a brick = 4 days

Work done by Vella in 1 day = [tex]\frac{1}{4}[/tex]

Work done  by Vella in 3 days = [tex]\frac{3}{4}[/tex]

Number of days taken by apprentice to build same brick = 6 days

Total days taken by apprentice to complete 3/4 of work =  [tex]\frac{3}{4} of 6[/tex]

                                                     = [tex]\frac{3}{4}[/tex] × 6

                                                     =[tex]\frac{9}{2}[/tex]

                                                     = [tex]4\frac{1}{2}[/tex] days

Number of days apprentice take to finish the wall is = 6 - [tex]4\frac{1}{2}[/tex]

                                                                                       = [tex]1\frac{1}{2}[/tex]

Hence, apprentice will take [tex]1\frac{1}{2}[/tex] days  to finish the wall.

Learn more about work here

https://brainly.com/question/19624236

#SPJ2