A man can do a piece of work in 15 days. If he works for 5 days, what fraction o

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Question: A man can do a piece of work in 15 days. If he works for 5 days, what fraction of the work is left?

Options:

Correct Answer: 1/3

Solution:

In 5 days, he completes 5/15 = 1/3 of the work. Therefore, 1 - 1/3 = 2/3 of the work is left.

A man can do a piece of work in 15 days. If he works for 5 days, what fraction of the work is left?

A man can do a piece of work in 15 days. If he works for 5 days, what fraction of the 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 1/15 of the work.
Step 3: Determine how much work he completes in 5 days. Multiply 1/15 by 5, which equals 5/15.
Step 4: Simplify 5/15 to 1/3. This means he has completed 1/3 of the work in 5 days.
Step 5: To find out how much work is left, subtract the completed work from the whole work. This is 1 - 1/3.
Step 6: Calculate 1 - 1/3, which equals 2/3. This means 2/3 of the work is still left.

Work and Time – Understanding how to calculate the fraction of work completed based on the time taken and the total time required.