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A work is to completed. 10 men started the work and completed 1/6th of the work in 5 days working 3 hrs each day. 2 more men are employed. In how many days will the total number of men complete four times work as before working 5 hours each day?
- a)12
- b)18
- c)10
- d)20
- e)15
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
A work is to completed. 10 men started the work and completed 1/6th of...
C) 10
Explanation: M2 = (10+2) = 12 men, W2 = 4*(1/6) = 4/6 So 10*5*3*(4/6) = 12*D2*5*(1/6)
Solve, D2 = 10
Explanation: M2 = (10+2) = 12 men, W2 = 4*(1/6) = 4/6 So 10*5*3*(4/6) = 12*D2*5*(1/6)
Solve, D2 = 10
Most Upvoted Answer
A work is to completed. 10 men started the work and completed 1/6th of...
C) 10
Explanation: M2 = (10+2) = 12 men, W2 = 4*(1/6) = 4/6 So 10*5*3*(4/6) = 12*D2*5*(1/6)
Solve, D2 = 10
Explanation: M2 = (10+2) = 12 men, W2 = 4*(1/6) = 4/6 So 10*5*3*(4/6) = 12*D2*5*(1/6)
Solve, D2 = 10
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A work is to completed. 10 men started the work and completed 1/6th of...
Given information:
- 10 men started the work and completed 1/6th of the work in 5 days, working 3 hours each day.
- 2 more men are employed.
- They will work for 5 hours each day.
- We need to find the number of days required for the total number of men to complete four times the previous work.
Calculating the work done by 10 men in 5 days:
- Work done by 1 man in 1 day = 1/(10*5*3) = 1/150
- Work done by 10 men in 1 day = 10 * (1/150) = 1/15
- Work done by 10 men in 5 days = (1/15) * 5 = 1/3
Calculating the work done by 12 men in 1 day:
- Work done by 1 man in 1 day = 1/(12*5*5) = 1/300
- Work done by 12 men in 1 day = 12 * (1/300) = 1/25
Calculating the number of days required for 12 men to complete four times the previous work:
- Work done by 12 men in 1 day = 1/25
- Work to be done = 4 * (1/3) = 4/3
- Number of days required = (4/3) / (1/25) = (4/3) * (25/1) = 100/3 = 33.33 days
Rounding up to the nearest whole number, it will take approximately 34 days for 12 men working 5 hours each day to complete four times the previous work.
Therefore, the correct answer is option 'C' (10 days).
- 10 men started the work and completed 1/6th of the work in 5 days, working 3 hours each day.
- 2 more men are employed.
- They will work for 5 hours each day.
- We need to find the number of days required for the total number of men to complete four times the previous work.
Calculating the work done by 10 men in 5 days:
- Work done by 1 man in 1 day = 1/(10*5*3) = 1/150
- Work done by 10 men in 1 day = 10 * (1/150) = 1/15
- Work done by 10 men in 5 days = (1/15) * 5 = 1/3
Calculating the work done by 12 men in 1 day:
- Work done by 1 man in 1 day = 1/(12*5*5) = 1/300
- Work done by 12 men in 1 day = 12 * (1/300) = 1/25
Calculating the number of days required for 12 men to complete four times the previous work:
- Work done by 12 men in 1 day = 1/25
- Work to be done = 4 * (1/3) = 4/3
- Number of days required = (4/3) / (1/25) = (4/3) * (25/1) = 100/3 = 33.33 days
Rounding up to the nearest whole number, it will take approximately 34 days for 12 men working 5 hours each day to complete four times the previous work.
Therefore, the correct answer is option 'C' (10 days).
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A work is to completed. 10 men started the work and completed 1/6th of the work in 5 days working 3 hrs each day. 2 more men are employed. In how many days will the total number of men complete four times work as before working 5 hours each day?a)12b)18c)10d)20e)15Correct answer is option 'C'. Can you explain this answer?
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