A man can complete a work in 10 days. If he works for 4 days, what fraction of t

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Question: A man can complete a work in 10 days. If he works for 4 days, what fraction of the work is left?

Options:

Correct Answer: 3/5

Solution:

Work done in 4 days = 4/10 = 2/5. Work left = 1 - 2/5 = 3/5.

A man can complete a work in 10 days. If he works for 4 days, what fraction of the work is left?

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

Work Rate – Understanding how to calculate work done based on time and total work capacity.
Fraction Calculation – Ability to compute fractions and perform subtraction of fractions.