SOLUTION: please help me to answer this question. eight men lake 12 days to cultivate a piece of land. after working for 3 days. six more men were employed. how long did they take to cultiva
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Question 1207487: please help me to answer this question. eight men lake 12 days to cultivate a piece of land. after working for 3 days. six more men were employed. how long did they take to cultivate a land Found 4 solutions by greenestamps, Theo, ikleyn, josgarithmetic:Answer by greenestamps(13200) (Show Source):
r = rate of each person
p = number of persons
t = time
q = quantity of work.
a basic assumption critical to solving this problem is that each person working on the job works at the same average rate, regardless of the number of people working on the job.
you are given that, when 8 people are working on the job, the job takes 8 days to complete.
the formula becomes r * 8 * 15 = 1
8 is the number of people working on the job.
t is the time it takes to compolete the job.
q is the quantity completed, which is 1 cultivated piece of land.
solve for r to get r = (1/96) = .0104166667.
after working for 3 days, 6 more people were added to the job.
the amount of work completed in 3 days is .0104166667 * 8 * 3 = .25.
that says that 25% of the job was completed in 3 days.
there is 75% of the job to be completed with the additional 6 people that are employed.
the formula becomss .0104166667 * 14 * t = .75
solve for t to get t = 5.142857143 days.
the total time to complete the job is that plus 3 = 8.142857143 days.
You can put this solution on YOUR website! .
please help me to answer this question. eight men lake 12 days to cultivate a piece of land.
after working for 3 days. six more men were employed. how long did they take to cultivate a land
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After 3 days, 1/4 of the job was done; 3/4 of the job remained.
8 workers would complete the remaining job in 9 days (under regular conditions).
But 8+6 = 14 workers will complete the remaining job in
= = = = 5 days. ANSWER
Solved.
Usually, in such problems, the problem composers match numbers in a way to get an integer answer.
Then the students are inspired by the beauty of a solution.
They will love Math.
Other " math composers " do not care about it.
Then the students consider such problems as idiotic, and they are right.
These students will hate Math.
Such math composers (of the second kind) should simply ruthlessly be kicked out of the profession
(using the method of " iron broom "), since their activity IS OPPOSITE to goals of education.
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The solution by @josgarithmetic, giving the answer 9/7 of a day, is INCORRECT.
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