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A contractor undertakes to dig a canal 10 km long in 180 days and employs 40 men. After 60 days he finds that only 2.5 km of the canal has been completed. To complete the work on the scheduled time how many men does he have to increase?
- a)10
- b)20
- c)25
- d)15
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
A contractor undertakes to dig a canal 10 km long in 180 days and empl...
In 60 days 40 men completed 2.5 km of the canal.
Let x number of men be required to complete 10 - 2.5 = 7.5 km of the canal in 180 - 60 = 120 days.
M1 x D1 x W2 = M2 x D2 x W1
60 x 40 x 7.5 = x x 120 x 2.5
x = 60 men
So the contractor requires 60 - 40 = 20 more men to complete the work on the scheduled time.
Hence, option 2.
Let x number of men be required to complete 10 - 2.5 = 7.5 km of the canal in 180 - 60 = 120 days.
M1 x D1 x W2 = M2 x D2 x W1
60 x 40 x 7.5 = x x 120 x 2.5
x = 60 men
So the contractor requires 60 - 40 = 20 more men to complete the work on the scheduled time.
Hence, option 2.
Most Upvoted Answer
A contractor undertakes to dig a canal 10 km long in 180 days and empl...
Given:
Length of canal to be dug = 10 km
Time taken to dig 10 km canal = 180 days
Number of men employed = 40
Length of canal dug in 60 days = 2.5 km
To find:
Number of men to be increased to complete the work on scheduled time
Solution:
Let's assume that the work is being done at a constant rate.
Total work to be done = 10 km
Work done in 60 days = 2.5 km
Remaining work = 10 km - 2.5 km = 7.5 km
Time left to complete the work = 180 days - 60 days = 120 days
Rate of work = Total work / Total time = 10 km / 180 days = 1/18 km/day
Work done by 40 men in 60 days = 2.5 km
Work done by 1 man in 60 days = 2.5 km / 40 = 1/16 km/day
To complete the remaining work of 7.5 km in 120 days, the number of men required can be calculated as follows:
Work to be done = Rate of work x Time
7.5 km = (1/16 km/day) x (Number of men required) x 120 days
Number of men required = 7.5 km x 16 km/day x 1/120 days
Number of men required = 20
Therefore, the number of men to be increased to complete the work on scheduled time is 20.
Hence, option (B) is the correct answer.
Length of canal to be dug = 10 km
Time taken to dig 10 km canal = 180 days
Number of men employed = 40
Length of canal dug in 60 days = 2.5 km
To find:
Number of men to be increased to complete the work on scheduled time
Solution:
Let's assume that the work is being done at a constant rate.
Total work to be done = 10 km
Work done in 60 days = 2.5 km
Remaining work = 10 km - 2.5 km = 7.5 km
Time left to complete the work = 180 days - 60 days = 120 days
Rate of work = Total work / Total time = 10 km / 180 days = 1/18 km/day
Work done by 40 men in 60 days = 2.5 km
Work done by 1 man in 60 days = 2.5 km / 40 = 1/16 km/day
To complete the remaining work of 7.5 km in 120 days, the number of men required can be calculated as follows:
Work to be done = Rate of work x Time
7.5 km = (1/16 km/day) x (Number of men required) x 120 days
Number of men required = 7.5 km x 16 km/day x 1/120 days
Number of men required = 20
Therefore, the number of men to be increased to complete the work on scheduled time is 20.
Hence, option (B) is the correct answer.
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Community Answer
A contractor undertakes to dig a canal 10 km long in 180 days and empl...
1 men per day can dig ( 2500/60×40) metres ie. 25/24 metres
for next 7.5 km
25/24 * 120 * X = 7500
x is 60
so extra employee needed is 20
for next 7.5 km
25/24 * 120 * X = 7500
x is 60
so extra employee needed is 20
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A contractor undertakes to dig a canal 10 km long in 180 days and employs 40 men. After 60 days he finds that only 2.5 km of the canal has been completed. To complete the work on the scheduled time how many men does he have to increase?a)10b)20c)25d)15Correct answer is option 'B'. Can you explain this answer?
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A contractor undertakes to dig a canal 10 km long in 180 days and employs 40 men. After 60 days he finds that only 2.5 km of the canal has been completed. To complete the work on the scheduled time how many men does he have to increase?a)10b)20c)25d)15Correct answer is option 'B'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about A contractor undertakes to dig a canal 10 km long in 180 days and employs 40 men. After 60 days he finds that only 2.5 km of the canal has been completed. To complete the work on the scheduled time how many men does he have to increase?a)10b)20c)25d)15Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A contractor undertakes to dig a canal 10 km long in 180 days and employs 40 men. After 60 days he finds that only 2.5 km of the canal has been completed. To complete the work on the scheduled time how many men does he have to increase?a)10b)20c)25d)15Correct answer is option 'B'. Can you explain this answer?.
A contractor undertakes to dig a canal 10 km long in 180 days and employs 40 men. After 60 days he finds that only 2.5 km of the canal has been completed. To complete the work on the scheduled time how many men does he have to increase?a)10b)20c)25d)15Correct answer is option 'B'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about A contractor undertakes to dig a canal 10 km long in 180 days and employs 40 men. After 60 days he finds that only 2.5 km of the canal has been completed. To complete the work on the scheduled time how many men does he have to increase?a)10b)20c)25d)15Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A contractor undertakes to dig a canal 10 km long in 180 days and employs 40 men. After 60 days he finds that only 2.5 km of the canal has been completed. To complete the work on the scheduled time how many men does he have to increase?a)10b)20c)25d)15Correct answer is option 'B'. Can you explain this answer?.
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