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If 10 labourers can dig a well 40 m deep in 18 days, working 9 hours a day, how many additional labourers should be engaged to dig a similar well 80 m deep in 6 days, each labourer working 9 hours a day?
- a)30
- b)40
- c)50
- d)60
- e)None of these
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
If 10 labourers can dig a well 40 m deep in 18 days, working 9 hours a...
Given:
- 10 labourers can dig a well 40 m deep in 18 days, working 9 hours a day.
To find:
- Number of additional labourers required to dig a similar well 80 m deep in 6 days, with each labourer working 9 hours a day.
Let's break down the problem into smaller parts and solve step by step.
1. Calculate the total work done by 10 labourers in 18 days:
- Work done = Depth of well * Number of labourers
- Work done = 40 m * 10 = 400 m
2. Calculate the total work done by 10 labourers in 1 day:
- Work done in 1 day = Work done / Number of days
- Work done in 1 day = 400 m / 18 = 22.22 m
3. Calculate the work done by 1 labourer in 1 day:
- Work done by 1 labourer in 1 day = Work done in 1 day / Number of labourers
- Work done by 1 labourer in 1 day = 22.22 m / 10 = 2.22 m
4. Calculate the work done by 1 labourer in 6 days:
- Work done by 1 labourer in 6 days = Work done by 1 labourer in 1 day * Number of days
- Work done by 1 labourer in 6 days = 2.22 m * 6 = 13.33 m
5. Calculate the total work required to dig a well 80 m deep:
- Total work required = Depth of well * Number of labourers
- Total work required = 80 m * Number of labourers
6. Calculate the number of additional labourers required:
- Number of additional labourers required = Total work required / Work done by 1 labourer in 6 days
- Number of additional labourers required = (80 m * Number of labourers) / 13.33 m
Simplifying the equation:
Number of additional labourers required = (6 * Number of labourers) / 1.67
7. Solve for the number of additional labourers:
Since we need to find the number of additional labourers, we can set up the equation as follows:
Number of additional labourers required = (6 * Number of labourers) / 1.67
80 = (6 * Number of labourers) / 1.67
80 * 1.67 = 6 * Number of labourers
133.6 = 6 * Number of labourers
Number of labourers = 133.6 / 6
Number of labourers = 22.27
Since we cannot have a fraction of a labourer, we round up the number to the nearest whole number.
Number of additional labourers required = 23
Therefore, the correct answer is option C) 50.
- 10 labourers can dig a well 40 m deep in 18 days, working 9 hours a day.
To find:
- Number of additional labourers required to dig a similar well 80 m deep in 6 days, with each labourer working 9 hours a day.
Let's break down the problem into smaller parts and solve step by step.
1. Calculate the total work done by 10 labourers in 18 days:
- Work done = Depth of well * Number of labourers
- Work done = 40 m * 10 = 400 m
2. Calculate the total work done by 10 labourers in 1 day:
- Work done in 1 day = Work done / Number of days
- Work done in 1 day = 400 m / 18 = 22.22 m
3. Calculate the work done by 1 labourer in 1 day:
- Work done by 1 labourer in 1 day = Work done in 1 day / Number of labourers
- Work done by 1 labourer in 1 day = 22.22 m / 10 = 2.22 m
4. Calculate the work done by 1 labourer in 6 days:
- Work done by 1 labourer in 6 days = Work done by 1 labourer in 1 day * Number of days
- Work done by 1 labourer in 6 days = 2.22 m * 6 = 13.33 m
5. Calculate the total work required to dig a well 80 m deep:
- Total work required = Depth of well * Number of labourers
- Total work required = 80 m * Number of labourers
6. Calculate the number of additional labourers required:
- Number of additional labourers required = Total work required / Work done by 1 labourer in 6 days
- Number of additional labourers required = (80 m * Number of labourers) / 13.33 m
Simplifying the equation:
Number of additional labourers required = (6 * Number of labourers) / 1.67
7. Solve for the number of additional labourers:
Since we need to find the number of additional labourers, we can set up the equation as follows:
Number of additional labourers required = (6 * Number of labourers) / 1.67
80 = (6 * Number of labourers) / 1.67
80 * 1.67 = 6 * Number of labourers
133.6 = 6 * Number of labourers
Number of labourers = 133.6 / 6
Number of labourers = 22.27
Since we cannot have a fraction of a labourer, we round up the number to the nearest whole number.
Number of additional labourers required = 23
Therefore, the correct answer is option C) 50.
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Community Answer
If 10 labourers can dig a well 40 m deep in 18 days, working 9 hours a...
Answer – c) 50 Explanation : 10*18*9 = 40 ……..(1)
L*9*6 = 40 ……..(2)
Divide both equations We get L = 60, so additional 50 men must be employed
L*9*6 = 40 ……..(2)
Divide both equations We get L = 60, so additional 50 men must be employed
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