A man can complete a work in 20 days. If he works for 5 days, what fraction of t

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Question: A man can complete a work in 20 days. If he works for 5 days, what fraction of the work is left?

Options:

Correct Answer: 3/4

Solution:

In 5 days, he completes 5/20 = 1/4 of the work. Therefore, the remaining work is 1 - 1/4 = 3/4.

A man can complete a work in 20 days. If he works for 5 days, what fraction of the work is left?

A man can complete a work in 20 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 20 days.
Step 2: Calculate how much work he completes in 1 day. This is 1/20 of the work.
Step 3: Determine how much work he completes in 5 days. This is 5 days * (1/20 of the work per day) = 5/20 of the work.
Step 4: Simplify 5/20 to find out how much of the work he has completed. 5/20 simplifies to 1/4.
Step 5: Calculate the remaining work. Since he completed 1/4 of the work, the remaining work is 1 - 1/4.
Step 6: Simplify 1 - 1/4 to find the fraction of work left. This equals 3/4.

Work Rate – Understanding how to calculate the fraction of work completed based on the total time and the time spent working.
Fraction Calculation – Ability to perform basic arithmetic operations with fractions to determine the remaining work.