Six men can complete a work in 5 days if they work for 8 hours per day. How many days will 4 men take to do the same work if they work only 5 hours per day?

Six men can complete a work in 5 days if they work for 8 hours per day. How many days will 4 men take to do the same work if they work only 5 hours per day? ?

Created: 1 year ago | Updated: 2 months ago | Created By:

Asif al sami

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Institution: AGRANI BANK LTD Exam: Agrani bank Ltd - Officer 04.07.2008
Topic: Mathematics (সাধারণ গণিত), Subject: Mathematics (সাধারণ গণিত)

Best Answer Explained in Below-:

To solve the problem, we start by determining the total work done in terms of man-hours. If six men can complete the work in 5 days, working 8 hours a day, we calculate the total man-hours as follows:

Total man-hours = Number of men × Hours per day × Days
= 6 men × 8 hours/day × 5 days = 240 man-hours.

Now, we need to figure out how many days it will take for 4 men to complete the same work if they only work 5 hours a day. First, we find the total hours worked by these 4 men per day:

Work done per day by 4 men = 4 men × 5 hours/day = 20 man-hours.

Next, we need to determine how many days it will take them to accumulate the 240 man-hours necessary to finish the work:

Days required = Total work (man-hours) ÷ Daily work (man-hours)
= 240 man-hours ÷ 20 man-hours/day = 12 days.

Thus, 4 men will take 12 days to complete the work if they work 5 hours a day, confirming that option B (12 days) is indeed the correct answer.

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Six men can complete a work in 5 days if they work for 8 hours per day. How many days will 4 men take to do the same work if they work only 5 hours per day? ?

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