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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 numbers 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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Most Upvoted Answer
It was estimated that 52 men can complete a strip in a newly construct...
Concept:
M1 × D1 = M2 × D2
Where,
M1 = Number of men in initial condition, M2 = Number of men in final condition
D1 = Number of days required in the initial condition,
D2 = Number of days required in the final condition
Calculation:
Given:
M1 = 52,
D1 = 10, M2 = 52 - 12 = 40,
D2 = ?
52 × 10 = 40 × D2
∴ D2 = 13 days
Now,
Numbers of days more than the original estimate is equal to:
Number of days required in the final condition - Number of days required in the initial condition
∴ Numbers of days more than the original estimate = D2 – D1
∴ Numbers of days more than the original estimate = 13 – 10
∴ Numbers of days more than the original estimate = 3 days
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Community Answer
It was estimated that 52 men can complete a strip in a newly construct...
Given:
- 52 men can complete the strip in 10 days.
Objective:
- To find the number of additional days required to complete the strip.
Approach:
- Let's assume the original work done by 52 men in 10 days is represented as W1.
- The work done by each man in a day is W1/52.
- The total work required to complete the strip is 52 * (W1/52) = W1.
- Now, let's assume the number of additional days required to complete the strip with reduced manpower is D.
- The work done by 40 men in D days is represented as W2.
- The work done by each man in a day is W2/40.
- The total work done by 40 men in D days is 40 * (W2/40) = W2.
Solution:
- We know that the total work required to complete the strip is W1.
- The work done by 52 men in 10 days is W1.
- The work done by 40 men in D days is W2.
- Since the work done by both sets of men is the same, we can equate the two expressions:
W1 = W2
52 * (W1/52) = 40 * (W2/40)
- Simplifying the equation, we get:
W1 = (40/52) * W1
1 = (40/52)
52 = 40 * (52/40)
52 = 52
- This implies that D = 10 days.
- Therefore, 10 additional days are required to complete the strip.
- The correct answer is option A) 3 days.
- 52 men can complete the strip in 10 days.
Objective:
- To find the number of additional days required to complete the strip.
Approach:
- Let's assume the original work done by 52 men in 10 days is represented as W1.
- The work done by each man in a day is W1/52.
- The total work required to complete the strip is 52 * (W1/52) = W1.
- Now, let's assume the number of additional days required to complete the strip with reduced manpower is D.
- The work done by 40 men in D days is represented as W2.
- The work done by each man in a day is W2/40.
- The total work done by 40 men in D days is 40 * (W2/40) = W2.
Solution:
- We know that the total work required to complete the strip is W1.
- The work done by 52 men in 10 days is W1.
- The work done by 40 men in D days is W2.
- Since the work done by both sets of men is the same, we can equate the two expressions:
W1 = W2
52 * (W1/52) = 40 * (W2/40)
- Simplifying the equation, we get:
W1 = (40/52) * W1
1 = (40/52)
52 = 40 * (52/40)
52 = 52
- This implies that D = 10 days.
- Therefore, 10 additional days are required to complete the strip.
- The correct answer is option A) 3 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 numbers 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?
Question Description
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