RRB NTPC/ASM/CA/TA Exam > RRB NTPC/ASM/CA/TA Questions > T alone can complete the work in 12 days. T a...
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T alone can complete the work in 12 days. T and U together worked on a piece of work and completed one-third work in 3 days. In how many days can U alone complete the same piece of work?
- a)36 days
- b)40 days
- c)25 days
- d)30 days
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
T alone can complete the work in 12 days. T and U together worked on a...
Given,
1 day work of T = 1/12
Let U alone can complete the work in x days.
1 day work of U = 1/x
Time taken by T and U to complete one-third work = 3 days
Time taken by T and U in completing 1 full piece of work = 3 ÷ (1/3) days = 9 days
1 day work of T and U working together = 1/9
1 day work of T = 1/12
Let U alone can complete the work in x days.
1 day work of U = 1/x
Time taken by T and U to complete one-third work = 3 days
Time taken by T and U in completing 1 full piece of work = 3 ÷ (1/3) days = 9 days
1 day work of T and U working together = 1/9
Most Upvoted Answer
T alone can complete the work in 12 days. T and U together worked on a...
Work Done by T
- T alone can complete the work in 12 days.
- Therefore, T’s work rate is 1/12 of the work per day.
Work Done by T and U Together
- T and U together completed one-third of the work in 3 days.
- This means they completed 1/3 of the work in 3 days, so their combined work rate is (1/3) / 3 = 1/9 of the work per day.
Finding U's Work Rate
- Let U's work rate be 1/x (where x is the number of days U takes to complete the work alone).
- The combined work rate of T and U can be expressed as:
(1/12) + (1/x) = 1/9.
Setting Up the Equation
- Rearranging the equation gives:
1/x = 1/9 - 1/12.
- To solve this, find a common denominator (36):
1/9 = 4/36 and 1/12 = 3/36.
- Thus:
1/x = (4/36) - (3/36) = 1/36.
Calculating U's Time to Complete the Work
- Therefore, x = 36.
- This indicates that U alone can complete the work in 36 days.
Final Answer
- Hence, U can complete the work alone in 36 days.
The correct answer is option 'A'.
- T alone can complete the work in 12 days.
- Therefore, T’s work rate is 1/12 of the work per day.
Work Done by T and U Together
- T and U together completed one-third of the work in 3 days.
- This means they completed 1/3 of the work in 3 days, so their combined work rate is (1/3) / 3 = 1/9 of the work per day.
Finding U's Work Rate
- Let U's work rate be 1/x (where x is the number of days U takes to complete the work alone).
- The combined work rate of T and U can be expressed as:
(1/12) + (1/x) = 1/9.
Setting Up the Equation
- Rearranging the equation gives:
1/x = 1/9 - 1/12.
- To solve this, find a common denominator (36):
1/9 = 4/36 and 1/12 = 3/36.
- Thus:
1/x = (4/36) - (3/36) = 1/36.
Calculating U's Time to Complete the Work
- Therefore, x = 36.
- This indicates that U alone can complete the work in 36 days.
Final Answer
- Hence, U can complete the work alone in 36 days.
The correct answer is option 'A'.
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T alone can complete the work in 12 days. T and U together worked on a piece of work and completed one-third work in 3 days. In how many days can U alone complete the same piece of work?a)36 daysb)40 daysc)25 daysd)30 daysCorrect answer is option 'A'. Can you explain this answer?
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T alone can complete the work in 12 days. T and U together worked on a piece of work and completed one-third work in 3 days. In how many days can U alone complete the same piece of work?a)36 daysb)40 daysc)25 daysd)30 daysCorrect answer is option 'A'. Can you explain this answer? for RRB NTPC/ASM/CA/TA 2025 is part of RRB NTPC/ASM/CA/TA preparation. The Question and answers have been prepared according to the RRB NTPC/ASM/CA/TA exam syllabus. Information about T alone can complete the work in 12 days. T and U together worked on a piece of work and completed one-third work in 3 days. In how many days can U alone complete the same piece of work?a)36 daysb)40 daysc)25 daysd)30 daysCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for RRB NTPC/ASM/CA/TA 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for T alone can complete the work in 12 days. T and U together worked on a piece of work and completed one-third work in 3 days. In how many days can U alone complete the same piece of work?a)36 daysb)40 daysc)25 daysd)30 daysCorrect answer is option 'A'. Can you explain this answer?.
T alone can complete the work in 12 days. T and U together worked on a piece of work and completed one-third work in 3 days. In how many days can U alone complete the same piece of work?a)36 daysb)40 daysc)25 daysd)30 daysCorrect answer is option 'A'. Can you explain this answer? for RRB NTPC/ASM/CA/TA 2025 is part of RRB NTPC/ASM/CA/TA preparation. The Question and answers have been prepared according to the RRB NTPC/ASM/CA/TA exam syllabus. Information about T alone can complete the work in 12 days. T and U together worked on a piece of work and completed one-third work in 3 days. In how many days can U alone complete the same piece of work?a)36 daysb)40 daysc)25 daysd)30 daysCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for RRB NTPC/ASM/CA/TA 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for T alone can complete the work in 12 days. T and U together worked on a piece of work and completed one-third work in 3 days. In how many days can U alone complete the same piece of work?a)36 daysb)40 daysc)25 daysd)30 daysCorrect answer is option 'A'. Can you explain this answer?.
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T alone can complete the work in 12 days. T and U together worked on a piece of work and completed one-third work in 3 days. In how many days can U alone complete the same piece of work?a)36 daysb)40 daysc)25 daysd)30 daysCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for T alone can complete the work in 12 days. T and U together worked on a piece of work and completed one-third work in 3 days. In how many days can U alone complete the same piece of work?a)36 daysb)40 daysc)25 daysd)30 daysCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of T alone can complete the work in 12 days. T and U together worked on a piece of work and completed one-third work in 3 days. In how many days can U alone complete the same piece of work?a)36 daysb)40 daysc)25 daysd)30 daysCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
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