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If 5 workers can complete a task in 12 days, how many days will it take for 10 w

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Question: If 5 workers can complete a task in 12 days, how many days will it take for 10 workers to complete the same task?

Options:

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

Correct Answer: 6

Solution: 

Work done by 5 workers in 12 days = 1 work unit. Work done by 1 worker in 60 days = 1/60 work unit/day. For 10 workers, rate = 10/60 = 1/6 work unit/day. Time = 1/(1/6) = 6 days.

If 5 workers can complete a task in 12 days, how many days will it take for 10 w

Practice Questions

Q1
If 5 workers can complete a task in 12 days, how many days will it take for 10 workers to complete the same task?
  1. 6
  2. 8
  3. 10
  4. 12

Questions & Step-by-Step Solutions

If 5 workers can complete a task in 12 days, how many days will it take for 10 workers to complete the same task?
  • Step 1: Understand that 5 workers can complete the task in 12 days. This means they can finish 1 complete task in that time.
  • Step 2: Calculate the total work done by 5 workers in 12 days. This is 1 work unit.
  • Step 3: Find out how much work 1 worker can do in 1 day. Since 5 workers complete 1 work unit in 12 days, we can find the work done by 1 worker in 1 day.
  • Step 4: Calculate the work done by 1 worker in 1 day. If 5 workers do 1 work unit in 12 days, then 1 worker does 1/5 of that in the same time, which is 1/60 work unit per day.
  • Step 5: Now, calculate how much work 10 workers can do in 1 day. If 1 worker does 1/60 work unit per day, then 10 workers do 10 times that amount: 10/60 = 1/6 work unit per day.
  • Step 6: To find out how many days it will take for 10 workers to complete the task, we need to find out how long it takes to complete 1 work unit at the rate of 1/6 work unit per day.
  • Step 7: Calculate the time taken by 10 workers to complete the task. Time = 1 work unit / (1/6 work unit per day) = 6 days.
  • Work Rate – Understanding how to calculate work done based on the number of workers and the time taken.
  • Inverse Relationship – Recognizing the inverse relationship between the number of workers and the time taken to complete a task.
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