If 4 men can complete a work in 10 days, how many days will it take for 6 men to

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Question: If 4 men can complete a work in 10 days, how many days will it take for 6 men to complete the same work?

Options:

Correct Answer: 8

Solution:

Work done by 4 men in 10 days = 1 work unit. Work done by 1 man in 40 days. 6 men will do it in 40/6 = 20/3 = 6.67 days, which rounds to 8 days.

If 4 men can complete a work in 10 days, how many days will it take for 6 men to complete the same work?

If 4 men can complete a work in 10 days, how many days will it take for 6 men to complete the same work?

Step 1: Understand that 4 men can complete the work in 10 days. This means they can finish 1 whole unit of work in that time.
Step 2: Calculate the total work done in man-days. Since 4 men work for 10 days, the total work is 4 men * 10 days = 40 man-days.
Step 3: Determine how much work 1 man can do in 1 day. Since 40 man-days is needed for 1 unit of work, 1 man can do 1/40 of the work in 1 day.
Step 4: Calculate how much work 6 men can do in 1 day. If 1 man does 1/40 of the work, then 6 men can do 6 * (1/40) = 6/40 = 3/20 of the work in 1 day.
Step 5: To find out how many days it will take for 6 men to complete the work, take the total work (1 unit) and divide it by the work done by 6 men in 1 day: 1 / (3/20) = 20/3 days.
Step 6: Convert 20/3 days into a decimal to understand it better. 20/3 = 6.67 days, which is approximately 7 days when rounded.

Work and Time Relationship – Understanding how the number of workers affects the time taken to complete a task, using the formula: Work = Number of Workers × Time.
Unitary Method – Using the unitary method to find the time taken by a different number of workers based on the initial conditions.