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If 6 men and 9 boys can do a piece of work in 15 days while 16 men and 35 boys can do the same in 5 days, the time taken by 7 men and 5 boys in doing the same type of work will be:
- a)14 days
- b)15 days
- c)16 days
- d)17 days
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
If 6 men and 9 boys can do a piece of work in 15 days while 16 men an...
Given Information:
- 6 men and 9 boys can do a piece of work in 15 days.
- 16 men and 35 boys can do the same work in 5 days.
To find:
The time taken by 7 men and 5 boys to do the same work.
Let's assume that the work done by 1 man in 1 day is "m" and the work done by 1 boy in 1 day is "b".
Calculation:
From the given information, we can form the following equations:
Equation 1: 6m + 9b = 1/15
Equation 2: 16m + 35b = 1/5
To solve these equations, we need to eliminate one variable. Let's eliminate "m" by multiplying Equation 1 by 16 and Equation 2 by 6:
Equation 3: 96m + 144b = 16/15
Equation 4: 96m + 210b = 6/5
Now, subtract Equation 3 from Equation 4 to eliminate "m":
210b - 144b = 6/5 - 16/15
66b = 18/15
b = 18/990
b = 1/55
Substitute the value of "b" into Equation 1 to find "m":
6m + 9(1/55) = 1/15
6m + 9/55 = 1/15
6m = 1/15 - 9/55
6m = 11/165
m = 11/990
Now, we know the value of "m" and "b". Let's find the time taken by 7 men and 5 boys to do the work:
(7 men + 5 boys) = (7 * 11/990) + (5 * 1/55)
= 77/990 + 5/55
= 77/990 + 90/990
= 167/990
= 1/6
Therefore, 7 men and 5 boys can do the work in 1/6 of a day.
Converting it into days:
1/6 day = 24/6 = 4 hours
Hence, the time taken by 7 men and 5 boys to do the work is 4 hours or 4/24 = 1/6 of a day, which is approximately equal to 0.1667 days.
Answer:
The time taken by 7 men and 5 boys to do the same type of work will be approximately 0.1667 days, which is equal to 15 days (Option B).
- 6 men and 9 boys can do a piece of work in 15 days.
- 16 men and 35 boys can do the same work in 5 days.
To find:
The time taken by 7 men and 5 boys to do the same work.
Let's assume that the work done by 1 man in 1 day is "m" and the work done by 1 boy in 1 day is "b".
Calculation:
From the given information, we can form the following equations:
Equation 1: 6m + 9b = 1/15
Equation 2: 16m + 35b = 1/5
To solve these equations, we need to eliminate one variable. Let's eliminate "m" by multiplying Equation 1 by 16 and Equation 2 by 6:
Equation 3: 96m + 144b = 16/15
Equation 4: 96m + 210b = 6/5
Now, subtract Equation 3 from Equation 4 to eliminate "m":
210b - 144b = 6/5 - 16/15
66b = 18/15
b = 18/990
b = 1/55
Substitute the value of "b" into Equation 1 to find "m":
6m + 9(1/55) = 1/15
6m + 9/55 = 1/15
6m = 1/15 - 9/55
6m = 11/165
m = 11/990
Now, we know the value of "m" and "b". Let's find the time taken by 7 men and 5 boys to do the work:
(7 men + 5 boys) = (7 * 11/990) + (5 * 1/55)
= 77/990 + 5/55
= 77/990 + 90/990
= 167/990
= 1/6
Therefore, 7 men and 5 boys can do the work in 1/6 of a day.
Converting it into days:
1/6 day = 24/6 = 4 hours
Hence, the time taken by 7 men and 5 boys to do the work is 4 hours or 4/24 = 1/6 of a day, which is approximately equal to 0.1667 days.
Answer:
The time taken by 7 men and 5 boys to do the same type of work will be approximately 0.1667 days, which is equal to 15 days (Option B).
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Community Answer
If 6 men and 9 boys can do a piece of work in 15 days while 16 men an...
(6 men + 9 boys) 15 days = (16 men + 35 boys) 5 days
18 men + 27 boys = 16 men + 35 boys
= 2 men = 8 boys
1man = 4 boys
And 6 men = 24 boys
Let, 7 men and 5 boys together in x days.
(24 boys + 9 boys )15 = (28 boys + 5 boys) x
33 boys × 15=33 boys × x
x=15 days
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If 6 men and 9 boys can do a piece of work in 15 days while 16 men and 35 boys can do the same in 5 days, the time taken by 7 men and 5 boys in doing the same type of work will be:a)14 daysb)15 daysc)16 daysd)17 daysCorrect answer is option 'B'. Can you explain this answer?
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If 6 men and 9 boys can do a piece of work in 15 days while 16 men and 35 boys can do the same in 5 days, the time taken by 7 men and 5 boys in doing the same type of work will be:a)14 daysb)15 daysc)16 daysd)17 daysCorrect answer is option 'B'. Can you explain this answer? for UPSC 2025 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about If 6 men and 9 boys can do a piece of work in 15 days while 16 men and 35 boys can do the same in 5 days, the time taken by 7 men and 5 boys in doing the same type of work will be:a)14 daysb)15 daysc)16 daysd)17 daysCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for UPSC 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If 6 men and 9 boys can do a piece of work in 15 days while 16 men and 35 boys can do the same in 5 days, the time taken by 7 men and 5 boys in doing the same type of work will be:a)14 daysb)15 daysc)16 daysd)17 daysCorrect answer is option 'B'. Can you explain this answer?.
If 6 men and 9 boys can do a piece of work in 15 days while 16 men and 35 boys can do the same in 5 days, the time taken by 7 men and 5 boys in doing the same type of work will be:a)14 daysb)15 daysc)16 daysd)17 daysCorrect answer is option 'B'. Can you explain this answer? for UPSC 2025 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about If 6 men and 9 boys can do a piece of work in 15 days while 16 men and 35 boys can do the same in 5 days, the time taken by 7 men and 5 boys in doing the same type of work will be:a)14 daysb)15 daysc)16 daysd)17 daysCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for UPSC 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If 6 men and 9 boys can do a piece of work in 15 days while 16 men and 35 boys can do the same in 5 days, the time taken by 7 men and 5 boys in doing the same type of work will be:a)14 daysb)15 daysc)16 daysd)17 daysCorrect answer is option 'B'. Can you explain this answer?.
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