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If 20 engineers and 20 workers can together construct a 20 km road in 20 days. 40 engineers and 40 workers together will construct 40 km road in how many days?
- a)10
- b)20
- c)40
- d)15
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
If 20 engineers and 20 workers can together construct a 20 km road in ...
Equate the man-days
For 20 km road, 20 x 20 = 400 man-days are required
∴ For 40 km road 800 man-days are required So, 800 = 40 * x
► ⇒ x = 20
For 20 km road, 20 x 20 = 400 man-days are required
∴ For 40 km road 800 man-days are required So, 800 = 40 * x
► ⇒ x = 20
Most Upvoted Answer
If 20 engineers and 20 workers can together construct a 20 km road in ...
Given:
- 20 engineers and 20 workers can construct a 20 km road in 20 days.
To find:
- How many days will 40 engineers and 40 workers take to construct a 40 km road?
Explanation:
Efficiency:
- Since the same number of engineers and workers can construct the road in the same time, we can assume that the efficiency of each engineer and worker is the same.
- Therefore, the total work done by 20 engineers and 20 workers in 20 days is equal to constructing a 20 km road.
Work Calculation:
- Work done by 1 engineer in 1 day = 1/20 km
- Work done by 1 worker in 1 day = 1/20 km
- Total work done by 1 engineer and 1 worker in 1 day = 1/20 + 1/20 = 1/10 km
Work Required:
- To construct a 40 km road, the total work to be done is 40 km.
Days Calculation:
- Now, if 40 engineers and 40 workers work together, the total work done in 1 day = 40 * (1/10) = 4 km
- Therefore, the number of days required to construct a 40 km road by 40 engineers and 40 workers = 40/4 = 10 days
Therefore, it will take 40 engineers and 40 workers together 10 days to construct a 40 km road.
- 20 engineers and 20 workers can construct a 20 km road in 20 days.
To find:
- How many days will 40 engineers and 40 workers take to construct a 40 km road?
Explanation:
Efficiency:
- Since the same number of engineers and workers can construct the road in the same time, we can assume that the efficiency of each engineer and worker is the same.
- Therefore, the total work done by 20 engineers and 20 workers in 20 days is equal to constructing a 20 km road.
Work Calculation:
- Work done by 1 engineer in 1 day = 1/20 km
- Work done by 1 worker in 1 day = 1/20 km
- Total work done by 1 engineer and 1 worker in 1 day = 1/20 + 1/20 = 1/10 km
Work Required:
- To construct a 40 km road, the total work to be done is 40 km.
Days Calculation:
- Now, if 40 engineers and 40 workers work together, the total work done in 1 day = 40 * (1/10) = 4 km
- Therefore, the number of days required to construct a 40 km road by 40 engineers and 40 workers = 40/4 = 10 days
Therefore, it will take 40 engineers and 40 workers together 10 days to construct a 40 km road.
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If 20 engineers and 20 workers can together construct a 20 km road in 20 days. 40 engineers and 40 workers together will construct 40 km road in how many days?a)10b)20c)40d)15Correct answer is option 'B'. Can you explain this answer?
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If 20 engineers and 20 workers can together construct a 20 km road in 20 days. 40 engineers and 40 workers together will construct 40 km road in how many days?a)10b)20c)40d)15Correct answer is option 'B'. Can you explain this answer? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about If 20 engineers and 20 workers can together construct a 20 km road in 20 days. 40 engineers and 40 workers together will construct 40 km road in how many days?a)10b)20c)40d)15Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If 20 engineers and 20 workers can together construct a 20 km road in 20 days. 40 engineers and 40 workers together will construct 40 km road in how many days?a)10b)20c)40d)15Correct answer is option 'B'. Can you explain this answer?.
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