Class 8 Exam > Class 8 Questions > A contractor can complete a certain piece w o...
Start Learning for Free
A contractor can complete a certain piece w of work in 9 days. He employed certain number of men, but 6 of them being absent from the very first day, the rest could finish the work in 15 days. How many men were originally employed?
- a)12
- b)15
- c)18
- d)24
Correct answer is option 'B'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
A contractor can complete a certain piece w of work in 9 days. He empl...
Given:
- A contractor can complete a piece of work in 9 days.
- He employed a certain number of men.
- 6 of them were absent from the first day.
- The rest could finish the work in 15 days.
To find: The original number of men employed.
Solution:
Let the original number of men employed be x.
From the given information, we know that:
- The contractor can complete the work in 9 days, so his one day work = 1/9.
- Let the efficiency of each man be y. So, the total efficiency of x men = xy.
- Work done by x men in 1 day = xy.
- Work done by x-6 men in 1 day = (x-6)y.
- In 15 days, work done by (x-6) men = 15(x-6)y.
- As the whole work is completed in 15 days by (x-6) men, their total work in 15 days = 1.
Using the above information, we can form the following equation:
1/9 = 15(x-6)y
=> xy = 15(x-6)y*9
=> x = 15*6*9/(15*9-y*6)
As we know that x is an integer, we can find the value of y that will make x an integer.
Factors of 6 are 1, 2, 3, 6.
Factors of 9 are 1, 3, 9.
Let's try substituting the values of y from the above factors and check which value of y gives an integer value of x.
For y = 1: x = 15*6*9/(15*9-1*6) = 15.23 (not an integer)
For y = 2: x = 15*6*9/(15*9-2*6) = 14.14 (not an integer)
For y = 3: x = 15*6*9/(15*9-3*6) = 12.81 (not an integer)
For y = 6: x = 15*6*9/(15*9-6*6) = 15 (an integer)
Therefore, the original number of men employed is x = 15.
Hence, the correct answer is option (B) 15.
- A contractor can complete a piece of work in 9 days.
- He employed a certain number of men.
- 6 of them were absent from the first day.
- The rest could finish the work in 15 days.
To find: The original number of men employed.
Solution:
Let the original number of men employed be x.
From the given information, we know that:
- The contractor can complete the work in 9 days, so his one day work = 1/9.
- Let the efficiency of each man be y. So, the total efficiency of x men = xy.
- Work done by x men in 1 day = xy.
- Work done by x-6 men in 1 day = (x-6)y.
- In 15 days, work done by (x-6) men = 15(x-6)y.
- As the whole work is completed in 15 days by (x-6) men, their total work in 15 days = 1.
Using the above information, we can form the following equation:
1/9 = 15(x-6)y
=> xy = 15(x-6)y*9
=> x = 15*6*9/(15*9-y*6)
As we know that x is an integer, we can find the value of y that will make x an integer.
Factors of 6 are 1, 2, 3, 6.
Factors of 9 are 1, 3, 9.
Let's try substituting the values of y from the above factors and check which value of y gives an integer value of x.
For y = 1: x = 15*6*9/(15*9-1*6) = 15.23 (not an integer)
For y = 2: x = 15*6*9/(15*9-2*6) = 14.14 (not an integer)
For y = 3: x = 15*6*9/(15*9-3*6) = 12.81 (not an integer)
For y = 6: x = 15*6*9/(15*9-6*6) = 15 (an integer)
Therefore, the original number of men employed is x = 15.
Hence, the correct answer is option (B) 15.
Free Test
FREE
| Start Free Test |
Community Answer
A contractor can complete a certain piece w of work in 9 days. He empl...
15
Attention Class 8 Students!
To make sure you are not studying endlessly, EduRev has designed Class 8 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 8.
|
Explore Courses for Class 8 exam
|
|
Similar Class 8 Doubts
Top Courses for Class 8View all
A contractor can complete a certain piece w of work in 9 days. He employed certain number of men, but 6 of them being absent from the very first day, the rest could finish the work in 15 days. How many men were originally employed?a)12b)15c)18d)24Correct answer is option 'B'. Can you explain this answer?
Question Description
A contractor can complete a certain piece w of work in 9 days. He employed certain number of men, but 6 of them being absent from the very first day, the rest could finish the work in 15 days. How many men were originally employed?a)12b)15c)18d)24Correct answer is option 'B'. Can you explain this answer? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about A contractor can complete a certain piece w of work in 9 days. He employed certain number of men, but 6 of them being absent from the very first day, the rest could finish the work in 15 days. How many men were originally employed?a)12b)15c)18d)24Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A contractor can complete a certain piece w of work in 9 days. He employed certain number of men, but 6 of them being absent from the very first day, the rest could finish the work in 15 days. How many men were originally employed?a)12b)15c)18d)24Correct answer is option 'B'. Can you explain this answer?.
A contractor can complete a certain piece w of work in 9 days. He employed certain number of men, but 6 of them being absent from the very first day, the rest could finish the work in 15 days. How many men were originally employed?a)12b)15c)18d)24Correct answer is option 'B'. Can you explain this answer? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about A contractor can complete a certain piece w of work in 9 days. He employed certain number of men, but 6 of them being absent from the very first day, the rest could finish the work in 15 days. How many men were originally employed?a)12b)15c)18d)24Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A contractor can complete a certain piece w of work in 9 days. He employed certain number of men, but 6 of them being absent from the very first day, the rest could finish the work in 15 days. How many men were originally employed?a)12b)15c)18d)24Correct answer is option 'B'. Can you explain this answer?.
Solutions for A contractor can complete a certain piece w of work in 9 days. He employed certain number of men, but 6 of them being absent from the very first day, the rest could finish the work in 15 days. How many men were originally employed?a)12b)15c)18d)24Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 8.
Download more important topics, notes, lectures and mock test series for Class 8 Exam by signing up for free.
Here you can find the meaning of A contractor can complete a certain piece w of work in 9 days. He employed certain number of men, but 6 of them being absent from the very first day, the rest could finish the work in 15 days. How many men were originally employed?a)12b)15c)18d)24Correct answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A contractor can complete a certain piece w of work in 9 days. He employed certain number of men, but 6 of them being absent from the very first day, the rest could finish the work in 15 days. How many men were originally employed?a)12b)15c)18d)24Correct answer is option 'B'. Can you explain this answer?, a detailed solution for A contractor can complete a certain piece w of work in 9 days. He employed certain number of men, but 6 of them being absent from the very first day, the rest could finish the work in 15 days. How many men were originally employed?a)12b)15c)18d)24Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of A contractor can complete a certain piece w of work in 9 days. He employed certain number of men, but 6 of them being absent from the very first day, the rest could finish the work in 15 days. How many men were originally employed?a)12b)15c)18d)24Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A contractor can complete a certain piece w of work in 9 days. He employed certain number of men, but 6 of them being absent from the very first day, the rest could finish the work in 15 days. How many men were originally employed?a)12b)15c)18d)24Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice Class 8 tests.
|
|
Explore Courses for Class 8 exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup