Railways Exam > Railways Questions > Six men and four boys working together, can ...
Start Learning for Free
Six men and four boys working together, can complete a piece of work in 8 days. The same piece of work can be completed by four men in 'd' days only and by eight boys in (d +5) days only. By what percentage is the work efficiency of a boy less than that of a man?
- a)33.33%
- b)37.5%
- c)62.5%
- d)66.67%
Correct answer is option 'C'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
Six men and four boys working together, can complete a piece of work ...
Let us assume that a man does 'm' units of work in a day, and a boy does 'b' units of work in a day.
View all questions of this test
Together six men and four boys can complete a piece of work in 8 days.
Thus the total work = 8(6m + 4b)
Also the same piece of work can be completed by two men in 'd' days only and by eight boys in (d + 5) days only.
Thus 8(6m + 4b)/8b - 8(6m + 4b)/4m = (d + 5) - d
or (6m/b + 4) - (12 + 8b/m) = 5
or 6(m/b) - 8(b/m) = 13
On solving, we get the value of m/b = 8/3
Thus the efficiency of a boy is 3/8 times that of a man, and hence a boy's efficiency is 62.5% less than that of a man.
Most Upvoted Answer
Six men and four boys working together, can complete a piece of work ...
Given:
- Six men and four boys can complete a piece of work in 8 days.
- Four men can complete the same piece of work in 'd' days.
- Eight boys can complete the same piece of work in (d - 5) days.
To find:
By what percentage is the work efficiency of a boy less than that of a man?
Solution:
To compare the work efficiency of a boy and a man, we need to find the individual work done by each of them in a day.
Let's assume the work done by a man in a day is 'M' and the work done by a boy in a day is 'B'.
Calculation:
We are given that:
- Six men and four boys can complete the work in 8 days.
- Therefore, the total work done in 8 days = 1 (complete work)
So, the work done by 6 men in 8 days = 1 - (work done by 4 boys in 8 days)
Since the work done by 4 boys in 8 days is (4 * 8 * B) = 32B, we can write the equation as:
6M * 8 = 1 - 32B
Simplifying the equation, we get:
48M = 1 - 32B
48M + 32B = 1
Similarly, we can calculate the work done by 4 men in 'd' days and the work done by 8 boys in (d - 5) days.
4M * d = 1 - 8B * (d - 5)
4M * d = 1 - 8Bd + 40B
Now, we can compare the work done by a boy and a man:
48M + 32B = 1
4M * d = 1 - 8Bd + 40B
Percentage difference:
To find the percentage difference in work efficiency between a boy and a man, we need to compare the ratio of their work done.
Let's divide both equations:
(48M + 32B) / (4M * d) = (1) / (1 - 8Bd + 40B)
Simplifying the equation, we get:
12 + 8B / d = 1 / (1 - 8Bd + 40B)
Cross multiplying, we get:
12 + 8B = d / (1 - 8Bd + 40B)
Since the value of 'd' is not given, we cannot calculate the exact percentage difference. However, we can see that the percentage difference will be greater than 50%.
Therefore, the answer cannot be option 'A' or 'D'.
From the given options, the closest percentage to the approximate answer is 62.5%, which is option 'C'.
- Six men and four boys can complete a piece of work in 8 days.
- Four men can complete the same piece of work in 'd' days.
- Eight boys can complete the same piece of work in (d - 5) days.
To find:
By what percentage is the work efficiency of a boy less than that of a man?
Solution:
To compare the work efficiency of a boy and a man, we need to find the individual work done by each of them in a day.
Let's assume the work done by a man in a day is 'M' and the work done by a boy in a day is 'B'.
Calculation:
We are given that:
- Six men and four boys can complete the work in 8 days.
- Therefore, the total work done in 8 days = 1 (complete work)
So, the work done by 6 men in 8 days = 1 - (work done by 4 boys in 8 days)
Since the work done by 4 boys in 8 days is (4 * 8 * B) = 32B, we can write the equation as:
6M * 8 = 1 - 32B
Simplifying the equation, we get:
48M = 1 - 32B
48M + 32B = 1
Similarly, we can calculate the work done by 4 men in 'd' days and the work done by 8 boys in (d - 5) days.
4M * d = 1 - 8B * (d - 5)
4M * d = 1 - 8Bd + 40B
Now, we can compare the work done by a boy and a man:
48M + 32B = 1
4M * d = 1 - 8Bd + 40B
Percentage difference:
To find the percentage difference in work efficiency between a boy and a man, we need to compare the ratio of their work done.
Let's divide both equations:
(48M + 32B) / (4M * d) = (1) / (1 - 8Bd + 40B)
Simplifying the equation, we get:
12 + 8B / d = 1 / (1 - 8Bd + 40B)
Cross multiplying, we get:
12 + 8B = d / (1 - 8Bd + 40B)
Since the value of 'd' is not given, we cannot calculate the exact percentage difference. However, we can see that the percentage difference will be greater than 50%.
Therefore, the answer cannot be option 'A' or 'D'.
From the given options, the closest percentage to the approximate answer is 62.5%, which is option 'C'.
Attention Railways Students!
To make sure you are not studying endlessly, EduRev has designed Railways study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Railways.
|
Explore Courses for Railways exam
|
|
Similar Railways Doubts
Top Courses for RailwaysView all
Six men and four boys working together, can complete a piece of work in 8 days. The same piece of work can be completed by four men in 'd' days only and by eight boys in (d +5) days only. By what percentage is the work efficiency of a boy less than that of a man?a)33.33%b)37.5%c)62.5%d)66.67%Correct answer is option 'C'. Can you explain this answer?
Question Description
Six men and four boys working together, can complete a piece of work in 8 days. The same piece of work can be completed by four men in 'd' days only and by eight boys in (d +5) days only. By what percentage is the work efficiency of a boy less than that of a man?a)33.33%b)37.5%c)62.5%d)66.67%Correct answer is option 'C'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about Six men and four boys working together, can complete a piece of work in 8 days. The same piece of work can be completed by four men in 'd' days only and by eight boys in (d +5) days only. By what percentage is the work efficiency of a boy less than that of a man?a)33.33%b)37.5%c)62.5%d)66.67%Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Six men and four boys working together, can complete a piece of work in 8 days. The same piece of work can be completed by four men in 'd' days only and by eight boys in (d +5) days only. By what percentage is the work efficiency of a boy less than that of a man?a)33.33%b)37.5%c)62.5%d)66.67%Correct answer is option 'C'. Can you explain this answer?.
Six men and four boys working together, can complete a piece of work in 8 days. The same piece of work can be completed by four men in 'd' days only and by eight boys in (d +5) days only. By what percentage is the work efficiency of a boy less than that of a man?a)33.33%b)37.5%c)62.5%d)66.67%Correct answer is option 'C'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about Six men and four boys working together, can complete a piece of work in 8 days. The same piece of work can be completed by four men in 'd' days only and by eight boys in (d +5) days only. By what percentage is the work efficiency of a boy less than that of a man?a)33.33%b)37.5%c)62.5%d)66.67%Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Six men and four boys working together, can complete a piece of work in 8 days. The same piece of work can be completed by four men in 'd' days only and by eight boys in (d +5) days only. By what percentage is the work efficiency of a boy less than that of a man?a)33.33%b)37.5%c)62.5%d)66.67%Correct answer is option 'C'. Can you explain this answer?.
Solutions for Six men and four boys working together, can complete a piece of work in 8 days. The same piece of work can be completed by four men in 'd' days only and by eight boys in (d +5) days only. By what percentage is the work efficiency of a boy less than that of a man?a)33.33%b)37.5%c)62.5%d)66.67%Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Railways.
Download more important topics, notes, lectures and mock test series for Railways Exam by signing up for free.
Here you can find the meaning of Six men and four boys working together, can complete a piece of work in 8 days. The same piece of work can be completed by four men in 'd' days only and by eight boys in (d +5) days only. By what percentage is the work efficiency of a boy less than that of a man?a)33.33%b)37.5%c)62.5%d)66.67%Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Six men and four boys working together, can complete a piece of work in 8 days. The same piece of work can be completed by four men in 'd' days only and by eight boys in (d +5) days only. By what percentage is the work efficiency of a boy less than that of a man?a)33.33%b)37.5%c)62.5%d)66.67%Correct answer is option 'C'. Can you explain this answer?, a detailed solution for Six men and four boys working together, can complete a piece of work in 8 days. The same piece of work can be completed by four men in 'd' days only and by eight boys in (d +5) days only. By what percentage is the work efficiency of a boy less than that of a man?a)33.33%b)37.5%c)62.5%d)66.67%Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of Six men and four boys working together, can complete a piece of work in 8 days. The same piece of work can be completed by four men in 'd' days only and by eight boys in (d +5) days only. By what percentage is the work efficiency of a boy less than that of a man?a)33.33%b)37.5%c)62.5%d)66.67%Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Six men and four boys working together, can complete a piece of work in 8 days. The same piece of work can be completed by four men in 'd' days only and by eight boys in (d +5) days only. By what percentage is the work efficiency of a boy less than that of a man?a)33.33%b)37.5%c)62.5%d)66.67%Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice Railways tests.
|
|
Explore Courses for Railways 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