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It was estimated that 52 men can complete a strip in a newly constructed highway connecting cities P and Q in 10 days. Due to an emergency, 12 men were sent to another project. How many number of days, more than the original estimate, will be required to complete the strip?
- a)3 days
- b)5 days
- c)10 days
- d)13 days
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
It was estimated that 52 men can complete a strip in a newly construct...
52 men can do in 10 days.
Since 12 men were sent out Remaining men left = 52 – 12 = 40
We know M1D1 = M2D2
52 × 12 = 40 × x
Total number of days taken = 13 days 3 days more than the original estimate.
Since 12 men were sent out Remaining men left = 52 – 12 = 40
We know M1D1 = M2D2
52 × 12 = 40 × x
Total number of days taken = 13 days 3 days more than the original estimate.
Most Upvoted Answer
It was estimated that 52 men can complete a strip in a newly construct...
Given:
- 52 men can complete a strip in 10 days.
- 12 men were sent to another project.
To Find:
- Number of additional days required to complete the strip.
Assumptions:
- The efficiency of the remaining men is the same as the initial efficiency.
Analysis:
- Let's calculate the total work required to complete the strip.
- The total work is the product of the number of men and the number of days.
- Initially, there were 52 men working for 10 days, so the initial work done is 52 * 10 = 520 man-days.
- After 12 men were sent to another project, the number of men working on the strip is reduced to 52 - 12 = 40.
- Let's assume the additional number of days required to complete the strip is 'x'.
Solution:
- The total work done by the remaining men in 'x' days is 40 * x.
- The total work done by the remaining men in 'x' days plus the initial work done (520 man-days) should be equal to the total work required to complete the strip.
- Therefore, we can write the equation: 40x + 520 = 52 * (10 + x).
- Solving this equation will give us the value of 'x'.
- Expanding the equation, we get: 40x + 520 = 520 + 52x.
- Simplifying, we get: 12x = 520 - 520.
- Simplifying further, we get: 12x = 0.
- Dividing both sides by 12, we get: x = 0.
- Therefore, the additional number of days required to complete the strip is 0.
- Hence, the correct answer is option 'A': 0 days.
- 52 men can complete a strip in 10 days.
- 12 men were sent to another project.
To Find:
- Number of additional days required to complete the strip.
Assumptions:
- The efficiency of the remaining men is the same as the initial efficiency.
Analysis:
- Let's calculate the total work required to complete the strip.
- The total work is the product of the number of men and the number of days.
- Initially, there were 52 men working for 10 days, so the initial work done is 52 * 10 = 520 man-days.
- After 12 men were sent to another project, the number of men working on the strip is reduced to 52 - 12 = 40.
- Let's assume the additional number of days required to complete the strip is 'x'.
Solution:
- The total work done by the remaining men in 'x' days is 40 * x.
- The total work done by the remaining men in 'x' days plus the initial work done (520 man-days) should be equal to the total work required to complete the strip.
- Therefore, we can write the equation: 40x + 520 = 52 * (10 + x).
- Solving this equation will give us the value of 'x'.
- Expanding the equation, we get: 40x + 520 = 520 + 52x.
- Simplifying, we get: 12x = 520 - 520.
- Simplifying further, we get: 12x = 0.
- Dividing both sides by 12, we get: x = 0.
- Therefore, the additional number of days required to complete the strip is 0.
- Hence, the correct answer is option 'A': 0 days.
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It was estimated that 52 men can complete a strip in a newly constructed highway connecting cities P and Q in 10 days. Due to an emergency, 12 men were sent to another project. How many number of days, more than the original estimate, will be required to complete the strip?a)3 daysb)5 daysc)10 daysd)13 daysCorrect answer is option 'A'. Can you explain this answer?
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