A man can complete a work in 10 days. If he works for 6 days, what fraction of t

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Question: A man can complete a work in 10 days. If he works for 6 days, what fraction of the work is left?

Options:

Correct Answer: 2/5

Solution:

Work done in 6 days = 6/10 = 3/5. Work left = 1 - 3/5 = 2/5.

A man can complete a work in 10 days. If he works for 6 days, what fraction of the work is left?

A man can complete a work in 10 days. If he works for 6 days, what fraction of the work is left?

Step 1: Understand that the man can complete the entire work in 10 days.
Step 2: Calculate the fraction of work done in 1 day. Since he completes the work in 10 days, in 1 day he does 1/10 of the work.
Step 3: Calculate the work done in 6 days. Multiply the work done in 1 day (1/10) by 6 days: (1/10) * 6 = 6/10.
Step 4: Simplify the fraction 6/10 to 3/5. This means he has completed 3/5 of the work.
Step 5: To find the work left, subtract the work done (3/5) from the whole work (1 or 5/5): 1 - 3/5 = 2/5.
Step 6: The fraction of the work that is left is 2/5.

Work Rate – Understanding how to calculate work done based on time and total work capacity.
Fraction Calculation – Ability to compute fractions to determine the portion of work completed and remaining.