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.
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