by working 8 hour a day 13 farmers can plough a field in day 15 day . in how many day will 26 farmer plough the same field if they work 10 hours a day
The amount of work is
8hr/day * 13men * 15day = 1560 man-hr
So, you want x so that
10*26*x = 1560
x = 6 days
To solve this problem, we need to find the relationship between the number of farmers, the number of hours worked per day, and the number of days needed to plough the field. Let's go step by step:
First, we have the information that 13 farmers can plough the field in 15 days, working 8 hours per day.
We can calculate the total work done by these farmers, which is equal to the product of the number of farmers, the number of hours worked, and the number of days:
Total work = 13 farmers * 8 hours/day * 15 days = 1560 farmer-hours.
Now, we need to find the number of days it takes for 26 farmers working 10 hours per day to complete the same amount of work.
Using the concept of work being equal to the product of the number of farmers, the number of hours worked, and the number of days:
Total work = 26 farmers * 10 hours/day * X days,
where X represents the number of days needed for the 26 farmers to complete the work.
Since the total work done must remain the same, we can set up the equation:
1560 = 26 * 10 * X.
Now, we can solve for X:
1560 = 260X,
X = 1560/260 = 6.
Therefore, 26 farmers, working 10 hours per day, will plough the same field in 6 days.
To summarize:
By working 8 hours a day, 13 farmers can plough a field in 15 days.
By working 10 hours a day, 26 farmers will plough the same field in 6 days.