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If a man can complete a work in 10 days and another man can complete the same wo

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Question: If a man can complete a work in 10 days and another man can complete the same work in 15 days, how much work will they complete together in 1 day?

Options:

  1. 1/6
  2. 1/5
  3. 1/4
  4. 1/3

Correct Answer: 1/5

Solution: 

Work done by first man in 1 day = 1/10. Work done by second man in 1 day = 1/15. Together they complete = 1/10 + 1/15 = 1/6.

If a man can complete a work in 10 days and another man can complete the same wo

Practice Questions

Q1
If a man can complete a work in 10 days and another man can complete the same work in 15 days, how much work will they complete together in 1 day?
  1. 1/6
  2. 1/5
  3. 1/4
  4. 1/3

Questions & Step-by-Step Solutions

If a man can complete a work in 10 days and another man can complete the same work in 15 days, how much work will they complete together in 1 day?
  • Step 1: Understand that the first man can complete the work in 10 days. This means he does 1/10 of the work in one day.
  • Step 2: Understand that the second man can complete the work in 15 days. This means he does 1/15 of the work in one day.
  • Step 3: To find out how much work they can do together in one day, add the work done by both men in one day: 1/10 + 1/15.
  • Step 4: To add 1/10 and 1/15, find a common denominator. The least common multiple of 10 and 15 is 30.
  • Step 5: Convert 1/10 to a fraction with a denominator of 30: (1/10) * (3/3) = 3/30.
  • Step 6: Convert 1/15 to a fraction with a denominator of 30: (1/15) * (2/2) = 2/30.
  • Step 7: Now add the two fractions: 3/30 + 2/30 = 5/30.
  • Step 8: Simplify 5/30 to its simplest form: 5/30 = 1/6.
  • Step 9: Therefore, together they complete 1/6 of the work in one day.
  • Work Rate – Understanding how to calculate the rate of work done by individuals and combining their rates.
  • Fraction Addition – Adding fractions with different denominators to find a common work output.
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