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A piece of work is to be completed in 100days, 11 Men are employed to do the work it is found that after 50 days only 1/3 rd work is completed. Now additionally how many more Men are to be employed to work to finish the work in time?
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A piece of work is to be completed in 100days, 11 Men are employed to ...
Problem Statement:
A piece of work is to be completed in 100 days. 11 men are employed to do the work. After 50 days, only 1/3rd of the work is completed. How many more men are to be employed to finish the work in time?
Solution:
Given:
- Number of days to complete the work (D) = 100 days
- Number of men employed (M) = 11
- Days completed (d) = 50 days
- Work completed (W) = 1/3
Step 1: Calculation of total work
Total work (T) = 1 (Assuming the total work to be 1 unit)
Step 2: Calculation of work done
Work done (D) = W*T = 1/3
Step 3: Calculation of remaining work
Remaining work (R) = T - D = 2/3
Step 4: Calculation of work done by 11 men in 50 days
Let the total work done by 11 men in 50 days be M1
Number of men employed (M1) = 11
Number of days (d1) = 50 days
Work done (W1) = 1/3
Using the formula, Work done = (Number of men employed * Number of days * Efficiency)
Efficiency of 11 men (E1) = W1 / (M1 * d1) = (1/3) / (11 * 50) = 1/165
Total work done by 11 men in 50 days (D1) = M1 * d1 * E1 = 11 * 50 * (1/165) = 10/3
Step 5: Calculation of remaining work to be done
Remaining work (R) = 2/3
Work done by 11 men in 50 days (D1) = 10/3
Remaining work (R1) = R - D1 = 2/3 - 10/3 = -8/3 (Negative value indicates that the work is already delayed)
Step 6: Calculation of additional men required to complete the remaining work in time
Let the number of men required to complete the remaining work in time be M2
Number of men employed (M2
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A piece of work is to be completed in 100days, 11 Men are employed to do the work it is found that after 50 days only 1/3 rd work is completed. Now additionally how many more Men are to be employed to work to finish the work in time?
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