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X can do a piece of work in 6 days, while x and y boh can do the same piece of work in 3/2 days how long will y alone take to complete. 1- 2 days 2- 4 days 3- 9/2 days?
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X can do a piece of work in 6 days, while x and y boh can do the same ...
Understanding the Work Rates
To solve the problem, we first determine the work rates of X and the combined work of X and Y.
Work Rate of X
- X can complete the work in 6 days.
- Therefore, X's work rate is 1/6 of the work per day.
Work Rate of X and Y Together
- X and Y together can finish the work in 3/2 days.
- Their combined work rate is 1/(3/2) = 2/3 of the work per day.
Finding Y's Work Rate
- Let Y's work rate be represented as 1/Y (where Y is the number of days Y takes alone to complete the work).
- The equation for their combined work rates is:
(1/6) + (1/Y) = (2/3)
- Rearranging the equation gives:
1/Y = (2/3) - (1/6)
Calculating Y's Work Rate
- To combine the fractions, we find a common denominator (which is 6):
1/Y = (4/6) - (1/6) = (3/6) = 1/2
- Solving for Y gives Y = 2.
Conclusion
- Therefore, Y alone will take 2 days to complete the work.
In summary, the answer is:
Y will take 2 days to complete the work alone.
To solve the problem, we first determine the work rates of X and the combined work of X and Y.
Work Rate of X
- X can complete the work in 6 days.
- Therefore, X's work rate is 1/6 of the work per day.
Work Rate of X and Y Together
- X and Y together can finish the work in 3/2 days.
- Their combined work rate is 1/(3/2) = 2/3 of the work per day.
Finding Y's Work Rate
- Let Y's work rate be represented as 1/Y (where Y is the number of days Y takes alone to complete the work).
- The equation for their combined work rates is:
(1/6) + (1/Y) = (2/3)
- Rearranging the equation gives:
1/Y = (2/3) - (1/6)
Calculating Y's Work Rate
- To combine the fractions, we find a common denominator (which is 6):
1/Y = (4/6) - (1/6) = (3/6) = 1/2
- Solving for Y gives Y = 2.
Conclusion
- Therefore, Y alone will take 2 days to complete the work.
In summary, the answer is:
Y will take 2 days to complete the work alone.
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X can do a piece of work in 6 days, while x and y boh can do the same piece of work in 3/2 days how long will y alone take to complete. 1- 2 days 2- 4 days 3- 9/2 days?
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X can do a piece of work in 6 days, while x and y boh can do the same piece of work in 3/2 days how long will y alone take to complete. 1- 2 days 2- 4 days 3- 9/2 days? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about X can do a piece of work in 6 days, while x and y boh can do the same piece of work in 3/2 days how long will y alone take to complete. 1- 2 days 2- 4 days 3- 9/2 days? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for X can do a piece of work in 6 days, while x and y boh can do the same piece of work in 3/2 days how long will y alone take to complete. 1- 2 days 2- 4 days 3- 9/2 days?.
X can do a piece of work in 6 days, while x and y boh can do the same piece of work in 3/2 days how long will y alone take to complete. 1- 2 days 2- 4 days 3- 9/2 days? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about X can do a piece of work in 6 days, while x and y boh can do the same piece of work in 3/2 days how long will y alone take to complete. 1- 2 days 2- 4 days 3- 9/2 days? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for X can do a piece of work in 6 days, while x and y boh can do the same piece of work in 3/2 days how long will y alone take to complete. 1- 2 days 2- 4 days 3- 9/2 days?.
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