
The stock of grain in a government warehouse lasts 30 days for 4000 people . How many days will it last for 6000 people ?
Answer
543.3k+ views
Hint:- Find out the total stock in grain assuming the amount consumed by 1 person in 1 day. Use the concept of unitary method to find the total stock consumed by 4000 and 6000 people separately.
Complete step-by-step answer:
It has been given that 4000 people consume the stock of grain in a government warehouse in 30 days.
We will assume that 1 person can consume food in 1 day
We can rewrite this as
1 person in 1 day consumes food
Thus, 4000 people in 1 day consumes food
Again, 4000 people in 30 days consumes food
From the above, we get the total food to be equal to
Now let us assume that 6000 people consume the total food in days
Again,
1 person in 1 day consumes food
Thus, 6000 people in 1 day consumes food
Thus, 6000 people in days can consume food
From the above, we get the total food to be equal to
Since the total food in the stock remains the same, we get
Solving the above equation, we get
Thus, 6000 people can consume the whole stock in 20 days.
Note:- In time and work we calculated and found the time required to complete a piece of work and also find work done in a given period of time. We know the amount of work done by a person varies directly with the time taken by him to complete the work.
Complete step-by-step answer:
It has been given that 4000 people consume the stock of grain in a government warehouse in 30 days.
We will assume that 1 person can consume
We can rewrite this as
1 person in 1 day consumes
Thus, 4000 people in 1 day consumes
Again, 4000 people in 30 days consumes
From the above, we get the total food to be equal to
Now let us assume that 6000 people consume the total food in
Again,
1 person in 1 day consumes
Thus, 6000 people in 1 day consumes
Thus, 6000 people in
From the above, we get the total food to be equal to
Since the total food in the stock remains the same, we get
Solving the above equation, we get
Thus, 6000 people can consume the whole stock in 20 days.
Note:- In time and work we calculated and found the time required to complete a piece of work and also find work done in a given period of time. We know the amount of work done by a person varies directly with the time taken by him to complete the work.
Recently Updated Pages
Master Class 10 General Knowledge: Engaging Questions & Answers for Success

Master Class 10 Computer Science: Engaging Questions & Answers for Success

Master Class 10 Science: Engaging Questions & Answers for Success

Master Class 10 Social Science: Engaging Questions & Answers for Success

Master Class 10 Maths: Engaging Questions & Answers for Success

Master Class 10 English: Engaging Questions & Answers for Success

Trending doubts
Full Form of IASDMIPSIFSIRSPOLICE class 7 social science CBSE

One lakh eight thousand how can we write it in num class 7 maths CBSE

The southernmost point of the Indian mainland is known class 7 social studies CBSE

100 million is equal to begingathered A 1 crore B -class-7-maths-CBSE

How many crores make 10 million class 7 maths CBSE

AIM To prepare stained temporary mount of onion peel class 7 biology CBSE
