A man can complete a work in 15 days. If he works for 3 days, how much work is l

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Question: A man can complete a work in 15 days. If he works for 3 days, how much work is left?

Options:

Correct Answer: 1/3

Solution:

Work done in 3 days = 3/15 = 1/5. Work left = 1 - 1/5 = 4/5.

A man can complete a work in 15 days. If he works for 3 days, how much work is left?

A man can complete a work in 15 days. If he works for 3 days, how much work is left?

Step 1: Understand that the man can complete the entire work in 15 days.
Step 2: Calculate how much work he does in one day. This is 1 work unit divided by 15 days, which equals 1/15 of the work per day.
Step 3: Determine how much work he completes in 3 days. Multiply the work done in one day (1/15) by 3 days: (1/15) * 3 = 3/15.
Step 4: Simplify 3/15 to 1/5. This means he has completed 1/5 of the work in 3 days.
Step 5: Calculate the remaining work. Subtract the work done (1/5) from the total work (1): 1 - 1/5 = 4/5.
Step 6: Conclude that 4/5 of the work is left to be completed.

Work Rate – Understanding how to calculate work done based on time and total work capacity.
Fractional Work – Using fractions to represent portions of work completed and remaining.