SOLUTION: 15 men were hired to plough 100 acres of land in 14 days.How many more men will be required to plough 250 acres of land in 21 days?

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Question 1099541: 15 men were hired to plough 100 acres of land in 14 days.How many more men will be required to plough 250 acres of land in 21 days?
Found 3 solutions by josgarithmetic, MathTherapy, ikleyn:
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
r, rate of 1 man
n, number of men
x, time in days
j, amount of jobs, 100 acres is 1 job.

n%2Ar%2Ax=j
-
highlight_green%28system%2815%2Ar%2A14=1%2Cn%2Ar%2A21=2%261%2F2%29%29
Eliminate r and solve for n.

Answer by MathTherapy(10555) About Me  (Show Source):
You can put this solution on YOUR website!
15 men were hired to plough 100 acres of land in 14 days.How many more men will be required to plough 250 acres of land in 21 days?
Correct answer: highlight_green%28matrix%281%2C2%2C+10%2C+more%29%29

Answer by ikleyn(52810) About Me  (Show Source):
You can put this solution on YOUR website!
.
From the first part of the condition, the rate of work of one worker per day is 100%2F%2815%2A14%29.


Next step is to find how many men is required to plough 250 acres in 21 day.


For it, divide 250%2F21 by the rate of work of one worker per day:

250%2F21 : 100%2F%2815%2A14%29 = %28%28250%2F21%29%29%2F%28%28100%2F%2815%2A14%29%29%29 =
 
%28250%2A15%2A14%29%2F%28100%2A21%29 = %285%2A15%2A14%29%2F%282%2A21%29 = %285%2A15%2A2%29%2F%282%2A3%29 = 5*5 = 25.


Now the answer to the problem's question is:  25 - 15 = 10 more men will be required.


Answer.  10 more men will be required.

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