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Nitu did 1/2 of the work yesterday and one-third of the work today. How much work will she have to do tomorrow to complete the work?
- a)1/2
- b)1/3
- c)1/6
- d)1/4
Correct answer is option 'C'. Can you explain this answer?
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To find out how much work Nitu will have to do tomorrow, we need to first determine the total amount of work that needs to be done.
Let's assume the total work is represented by 'W'.
Yesterday, Nitu did half of the work, which is equal to (1/2)W.
Today, Nitu did one-third of the work, which is equal to (1/3)W.
We can add these two fractions to find out the total work done by Nitu so far:
(1/2)W + (1/3)W = (3/6)W + (2/6)W = (5/6)W
Therefore, Nitu has already completed (5/6) of the total work.
To determine how much work Nitu will have to do tomorrow, we need to find the remaining fraction of work that needs to be done.
Subtracting the work already done from the total work, we get:
W - (5/6)W = (6/6)W - (5/6)W = (1/6)W
Therefore, Nitu will have to do (1/6) of the total work tomorrow to complete the work.
Hence, the correct answer is option c) 1/6.
Let's assume the total work is represented by 'W'.
Yesterday, Nitu did half of the work, which is equal to (1/2)W.
Today, Nitu did one-third of the work, which is equal to (1/3)W.
We can add these two fractions to find out the total work done by Nitu so far:
(1/2)W + (1/3)W = (3/6)W + (2/6)W = (5/6)W
Therefore, Nitu has already completed (5/6) of the total work.
To determine how much work Nitu will have to do tomorrow, we need to find the remaining fraction of work that needs to be done.
Subtracting the work already done from the total work, we get:
W - (5/6)W = (6/6)W - (5/6)W = (1/6)W
Therefore, Nitu will have to do (1/6) of the total work tomorrow to complete the work.
Hence, the correct answer is option c) 1/6.
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