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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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