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

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

Options:

Correct Answer: 2/3

Solution:

In 4 days, he completes 4/12 = 1/3 of the work. Therefore, 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 part of the work is left?

A man can do a piece of work in 12 days. If he works for 4 days, what part 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 completes 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 find out how much work he has completed. 4/12 simplifies to 1/3 of the work.
Step 5: Calculate the remaining work. Since he completed 1/3 of the work, subtract this from the total work (1): 1 - 1/3 = 2/3.
Step 6: Conclude that the part of the work left is 2/3.

Work Rate – Understanding how to calculate the portion of work completed based on the total time taken to complete the work.
Fraction Subtraction – Applying basic fraction operations to determine the remaining work after a portion has been completed.