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A man can complete a work in 10 days. If he works for 3 days, what fraction of t

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Question: A man can complete a work in 10 days. If he works for 3 days, what fraction of the work is left?

Options:

  1. 1/3
  2. 1/2
  3. 2/5
  4. 1/5

Correct Answer: 1/3

Solution:

Work done in 3 days = 3/10. Work left = 1 - 3/10 = 7/10.

A man can complete a work in 10 days. If he works for 3 days, what fraction of t

Practice Questions

Q1
A man can complete a work in 10 days. If he works for 3 days, what fraction of the work is left?
  1. 1/3
  2. 1/2
  3. 2/5
  4. 1/5

Questions & Step-by-Step Solutions

A man can complete a work in 10 days. If he works for 3 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 1 day. Since he completes the work in 10 days, in 1 day he does 1/10 of the work.
  • Step 3: Calculate the work done in 3 days. Multiply the work done in 1 day (1/10) by 3 days: 3 * (1/10) = 3/10.
  • Step 4: Determine the fraction of work left. Since the total work is 1 (whole work), subtract the work done (3/10) from the total work: 1 - 3/10 = 7/10.
  • Step 5: Conclude that the fraction of work left is 7/10.
  • 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.
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