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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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Explanation:
Given:
Nitu did 1/2 of the work yesterday.
Nitu did 1/3 of the work today.
To find:
How much work will Nitu have to do tomorrow to complete the work?
Solution:
Let's assume that the total work that needs to be done is represented by 'x'.
Nitu did 1/2 of the work yesterday, which means she completed (1/2) * x work yesterday.
Nitu did 1/3 of the work today, which means she completed (1/3) * x work today.
To find the remaining work that Nitu has to do tomorrow, we need to subtract the work done by Nitu from the total work.
Remaining work = Total work - Work done yesterday - Work done today
Remaining work = x - (1/2) * x - (1/3) * x
To subtract fractions, we need a common denominator. In this case, the common denominator is 6.
Remaining work = (6x/6) - (3x/6) - (2x/6)
Simplifying the equation:
Remaining work = (6x - 3x - 2x) / 6
Remaining work = (x - 5x) / 6
Remaining work = (-4x) / 6
The negative sign indicates that Nitu has already done more than the total work required. So, we need to consider the absolute value.
Remaining work = 4x / 6
Simplifying the fraction:
Remaining work = 2x / 3
Therefore, Nitu will have to do 2/3 of the work tomorrow to complete the work.
Therefore, the correct answer is option 'c) 1/6'.
Given:
Nitu did 1/2 of the work yesterday.
Nitu did 1/3 of the work today.
To find:
How much work will Nitu have to do tomorrow to complete the work?
Solution:
Let's assume that the total work that needs to be done is represented by 'x'.
Nitu did 1/2 of the work yesterday, which means she completed (1/2) * x work yesterday.
Nitu did 1/3 of the work today, which means she completed (1/3) * x work today.
To find the remaining work that Nitu has to do tomorrow, we need to subtract the work done by Nitu from the total work.
Remaining work = Total work - Work done yesterday - Work done today
Remaining work = x - (1/2) * x - (1/3) * x
To subtract fractions, we need a common denominator. In this case, the common denominator is 6.
Remaining work = (6x/6) - (3x/6) - (2x/6)
Simplifying the equation:
Remaining work = (6x - 3x - 2x) / 6
Remaining work = (x - 5x) / 6
Remaining work = (-4x) / 6
The negative sign indicates that Nitu has already done more than the total work required. So, we need to consider the absolute value.
Remaining work = 4x / 6
Simplifying the fraction:
Remaining work = 2x / 3
Therefore, Nitu will have to do 2/3 of the work tomorrow to complete the work.
Therefore, the correct answer is option 'c) 1/6'.
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