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If 4 men can complete a work in 10 days, how many men are required to complete t

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Question: If 4 men can complete a work in 10 days, how many men are required to complete the same work in 5 days?

Options:

  1. 6
  2. 8
  3. 10
  4. 12

Correct Answer: 8

Solution: 

Work done by 4 men in 10 days = 1 work unit. Work done by 1 man in 40 days = 1/40 work unit/day. To complete in 5 days, required rate = 1/5 work unit/day. Number of men = 1/(1/40) * 5 = 8.

If 4 men can complete a work in 10 days, how many men are required to complete t

Practice Questions

Q1
If 4 men can complete a work in 10 days, how many men are required to complete the same work in 5 days?
  1. 6
  2. 8
  3. 10
  4. 12

Questions & Step-by-Step Solutions

If 4 men can complete a work in 10 days, how many men are required to complete the same work in 5 days?
  • Step 1: Understand that 4 men can finish the work in 10 days. This means they complete 1 whole work unit in that time.
  • Step 2: Calculate how much work 1 man can do in 10 days. Since 4 men do 1 work unit, 1 man does 1/4 of that work in 10 days.
  • Step 3: Find out how much work 1 man can do in 1 day. If 1 man does 1/4 work unit in 10 days, then in 1 day, he does (1/4) / 10 = 1/40 work unit.
  • Step 4: Determine how much work needs to be done per day to finish the work in 5 days. Since the total work is 1 work unit, to finish in 5 days, the required rate is 1 work unit / 5 days = 1/5 work unit per day.
  • Step 5: Now, find out how many men are needed to achieve the required rate of 1/5 work unit per day. Since 1 man does 1/40 work unit per day, the number of men needed is (1/5) / (1/40) = 8.
  • Step 6: Conclude that 8 men are required to complete the work in 5 days.
  • Work Rate – Understanding the relationship between the number of workers, the time taken, and the amount of work done.
  • Inverse Proportionality – Recognizing that as the number of days decreases, the number of men required increases.
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