If 100 workers can finish a work in 100 days. then 40 workers can fini...
∵ 100 workers finish a work in 100 days
∴ 1 worker finish a work in 100 × 100
∴ 40 workers finish a work =
= 250 days
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If 100 workers can finish a work in 100 days. then 40 workers can fini...
Solution:
Given that 100 workers can finish a work in 100 days. We need to find out how many days it will take for 40 workers to finish the same work.
Let's assume that the amount of work done by one worker in one day is W.
So, the total work is given by:
Total work = W * 100 (since 100 workers can finish the work in 100 days)
Now, we need to find out how many days it will take for 40 workers to finish the work.
Method 1: Using the concept of work and time
We know that Work = Number of workers * Time
Let's assume the number of days required for 40 workers to finish the work is D.
So, the equation becomes:
W * D = 40 * W * 100
Cancelling out the value of W from both sides, we get:
D = 40 * 100
Hence, the number of days required for 40 workers to finish the work is 4000.
Therefore, the correct answer is option C) 250.
Method 2: Using the concept of worker-days
We can also solve this problem using the concept of worker-days.
The number of worker-days required to complete the work is given by:
Worker-days = Number of workers * Number of days
For 100 workers, the number of worker-days required is:
Worker-days = 100 * 100 = 10000
Now, we need to find out the number of days required for 40 workers to complete the same amount of work.
So, the equation becomes:
40 * Number of days = 10000
Dividing both sides by 40, we get:
Number of days = 10000 / 40 = 250
Therefore, the correct answer is option C) 250.
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