A man can do a piece of work in 12 days. If he works for 4 days, what fraction o

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Question: A man can do a piece of work in 12 days. If he works for 4 days, what fraction of the work is left?

Options:

Correct Answer: 2/3

Solution:

Work done in 4 days = 4/12 = 1/3. Work left = 1 - 1/3 = 2/3.

A man can do a piece of work in 12 days. If he works for 4 days, what fraction of the work is left?

A man can do a piece of work in 12 days. If he works for 4 days, what fraction of the work is left?

Step 1: Understand that the man can complete the entire work in 12 days.
Step 2: Calculate how much work he does in one day. This is 1 work unit divided by 12 days, which equals 1/12 of the work per day.
Step 3: Determine how much work he does in 4 days. Multiply the work done in one day (1/12) by 4 days: (1/12) * 4 = 4/12.
Step 4: Simplify 4/12 to 1/3. This means he has completed 1/3 of the work in 4 days.
Step 5: Calculate the remaining work. Since he has completed 1/3 of the work, the remaining work is 1 - 1/3.
Step 6: To find 1 - 1/3, convert 1 to a fraction with a denominator of 3: 1 = 3/3. Now subtract: 3/3 - 1/3 = 2/3.
Step 7: Conclude that the fraction of the work left is 2/3.

Work and Time – Understanding how to calculate work done over a period of time based on a given rate.
Fraction Calculation – Ability to compute fractions and understand their implications in the context of work completion.