In a dairy farm, 20 horses eat 40 bags of husk in 40 days. In how many days 10 horses will eat 30 bags of husks?a)30b)60c)80d)100e)None of theseCorrect answer is option 'B'. Can you explain this answer?

Question

Answer

Formula - M1xN1xeff1/work done1 = M2xN2xeff2/work2

w1= 40 bags;w2=30 bags

20x40/40 = 10B/30

=> B=60

Answer

Answer – b) 60 Explanation : Horse*Days = Bags 20*40 = 40 and 10*D = 30 (20*40)/(10*D) = 40/30
We get D = 60 days

Answer

Given:
Number of horses = 20
Number of bags of husk = 40
Number of days = 40

We need to find the number of days it will take for 10 horses to eat 30 bags of husks.

Let's assume the number of days required to be 'x'.

Proportional relationship:
The number of horses is inversely proportional to the number of bags of husk.
The number of horses is directly proportional to the number of days.

Mathematically, we can write this relationship as:
(Number of horses) × (Number of days) = Constant

Step 1: Calculate the constant value
Using the given information, we can calculate the constant value as:
20 × 40 = 10 × x
800 = 10x

Step 2: Calculate the value of 'x'
To find the value of 'x', we need to solve the equation:
800 = 10x
Divide both sides of the equation by 10:
80 = x

Therefore, it will take 10 horses 80 days to eat 30 bags of husks.

Answer:
The correct option is (B) 60.

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