A man can complete a task in 15 days. If he works for 5 days, what percentage of

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Question: A man can complete a task in 15 days. If he works for 5 days, what percentage of the task is completed?

Options:

Correct Answer: 33.33%

Solution:

Work done in 5 days = 5/15 = 1/3. Percentage completed = (1/3) * 100 = 33.33%.

A man can complete a task in 15 days. If he works for 5 days, what percentage of the task is completed?

A man can complete a task in 15 days. If he works for 5 days, what percentage of the task is completed?

Step 1: Understand that the man can complete the entire task in 15 days.
Step 2: Determine how much of the task he completes in one day. This is done by dividing 1 (the whole task) by 15 (the total days): 1/15.
Step 3: Calculate how much of the task he completes in 5 days. Multiply the work done in one day (1/15) by 5: (1/15) * 5 = 5/15.
Step 4: Simplify 5/15 to find out how much of the task is completed: 5/15 = 1/3.
Step 5: Convert the fraction of the task completed (1/3) into a percentage. To do this, multiply by 100: (1/3) * 100 = 33.33%.
Step 6: Conclude that after working for 5 days, the man has completed 33.33% of the task.

Work Rate – Understanding how to calculate the portion of work completed based on the total time required to complete a task.
Percentage Calculation – Applying the formula to convert a fraction of work done into a percentage.