A man can complete a work in 10 days. If he works for 4 days, what fraction of t

Practice Questions

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

Questions & Step-by-Step Solutions

A man can complete a work in 10 days. If he works for 4 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 4 days. Since he completes the work in 10 days, in 1 day he completes 1/10 of the work.
  • Step 3: Multiply the work done in 1 day by the number of days he worked: 4 days * (1/10 of work per day) = 4/10.
  • Step 4: Simplify 4/10 to 2/5. This means he has completed 2/5 of the work.
  • Step 5: To find the work left, subtract the work done from the whole work: 1 (whole work) - 2/5 (work done) = 3/5.
  • Step 6: Therefore, the fraction of the work that is left is 3/5.
  • 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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