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72 men can build a wall 280 m long in 21 days. How many men will take 18 days to build a similar type of a wall of length 100 m.
- a)28
- b)18
- c)10
- d)30
- e)None of these
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
72 men can build a wall 280 m long in 21 days. How many men will take ...
Here work is 280 m length of wall and 100 m length of wall,
Let 'M' men will finish 100 m wall.
72x21/280=Mx18/100
M=30
Most Upvoted Answer
72 men can build a wall 280 m long in 21 days. How many men will take ...
Ans will be d we have to apply simple formula ie 72× 21×10÷280=18.x÷100 then we will get x= 30
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72 men can build a wall 280 m long in 21 days. How many men will take ...
To solve this problem, we can use the concept of man-days. Man-days is a measure of the total work done by a group of men over a certain period of time.
Let's first calculate the man-days required to build the first wall:
- 72 men can build a wall 280 m long in 21 days.
- So, the total man-days required to build this wall is 72 * 21 = 1512 man-days.
Now, let's find out how many men are required to build a similar wall of length 100 m in 18 days:
- We know that the total man-days required is 1512.
- Let's assume that there are 'x' men required to build the wall in 18 days.
- So, the equation becomes: x * 18 = 1512
Now we can solve this equation to find the value of 'x':
- Dividing both sides of the equation by 18, we get: x = 1512 / 18 = 84
Therefore, 84 men are required to build a similar wall of length 100 m in 18 days.
Now, we need to find the options that match our answer, which is 84 men.
- Option (a) 28 men is not the correct answer.
- Option (b) 18 men is not the correct answer.
- Option (c) 10 men is not the correct answer.
- Option (d) 30 men is not the correct answer.
- Option (e) None of these is not the correct answer.
Hence, the correct answer is option (d) 84 men.
Let's first calculate the man-days required to build the first wall:
- 72 men can build a wall 280 m long in 21 days.
- So, the total man-days required to build this wall is 72 * 21 = 1512 man-days.
Now, let's find out how many men are required to build a similar wall of length 100 m in 18 days:
- We know that the total man-days required is 1512.
- Let's assume that there are 'x' men required to build the wall in 18 days.
- So, the equation becomes: x * 18 = 1512
Now we can solve this equation to find the value of 'x':
- Dividing both sides of the equation by 18, we get: x = 1512 / 18 = 84
Therefore, 84 men are required to build a similar wall of length 100 m in 18 days.
Now, we need to find the options that match our answer, which is 84 men.
- Option (a) 28 men is not the correct answer.
- Option (b) 18 men is not the correct answer.
- Option (c) 10 men is not the correct answer.
- Option (d) 30 men is not the correct answer.
- Option (e) None of these is not the correct answer.
Hence, the correct answer is option (d) 84 men.
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