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A can do a work in 15 days .B can complete the work in 20 days .C can complete in 30 days .if all three start together and C leaves after few days and B and A complete the remaining work .if the total paid for this work is 18000 and B get 6000 more than C then .
how many days work wil be completed?
how many days work wil be completed?
Most Upvoted Answer
A can do a work in 15 days .B can complete the work in 20 days .C can ...
Given Data:
- A can complete the work in 15 days.
- B can complete the work in 20 days.
- C can complete the work in 30 days.
- Total amount paid for the work is 18000.
- B receives 6000 more than C for the work.
Calculation:
Let's assume the total work to be done is 60 units (LCM of 15, 20, and 30).
- A's work rate = 60 units / 15 days = 4 units/day
- B's work rate = 60 units / 20 days = 3 units/day
- C's work rate = 60 units / 30 days = 2 units/day
When all three start working together:
- In x days, C completes 2x units of work.
- Remaining work = 60 - 2x units
Since B gets 6000 more than C:
- B's payment = C's payment + 6000
Now, we can equate the work and payment to find the value of x:
- 2x/2 + 3(60-2x) = 18000
- x = 5
Conclusion:
After 5 days of work:
- A completes 20 units (4 units/day * 5 days)
- B completes 15 units (3 units/day * 5 days)
- C completes 10 units (2 units/day * 5 days)
Thus, a total of 45 units of work will be completed in 5 days.
- A can complete the work in 15 days.
- B can complete the work in 20 days.
- C can complete the work in 30 days.
- Total amount paid for the work is 18000.
- B receives 6000 more than C for the work.
Calculation:
Let's assume the total work to be done is 60 units (LCM of 15, 20, and 30).
- A's work rate = 60 units / 15 days = 4 units/day
- B's work rate = 60 units / 20 days = 3 units/day
- C's work rate = 60 units / 30 days = 2 units/day
When all three start working together:
- In x days, C completes 2x units of work.
- Remaining work = 60 - 2x units
Since B gets 6000 more than C:
- B's payment = C's payment + 6000
Now, we can equate the work and payment to find the value of x:
- 2x/2 + 3(60-2x) = 18000
- x = 5
Conclusion:
After 5 days of work:
- A completes 20 units (4 units/day * 5 days)
- B completes 15 units (3 units/day * 5 days)
- C completes 10 units (2 units/day * 5 days)
Thus, a total of 45 units of work will be completed in 5 days.
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A can do a work in 15 days .B can complete the work in 20 days .C can complete in 30 days .if all three start together and C leaves after few days and B and A complete the remaining work .if the total paid for this work is 18000 and B get 6000 more than C then . how many days work wil be completed?
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A can do a work in 15 days .B can complete the work in 20 days .C can complete in 30 days .if all three start together and C leaves after few days and B and A complete the remaining work .if the total paid for this work is 18000 and B get 6000 more than C then . how many days work wil be completed? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A can do a work in 15 days .B can complete the work in 20 days .C can complete in 30 days .if all three start together and C leaves after few days and B and A complete the remaining work .if the total paid for this work is 18000 and B get 6000 more than C then . how many days work wil be completed? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A can do a work in 15 days .B can complete the work in 20 days .C can complete in 30 days .if all three start together and C leaves after few days and B and A complete the remaining work .if the total paid for this work is 18000 and B get 6000 more than C then . how many days work wil be completed?.
A can do a work in 15 days .B can complete the work in 20 days .C can complete in 30 days .if all three start together and C leaves after few days and B and A complete the remaining work .if the total paid for this work is 18000 and B get 6000 more than C then . how many days work wil be completed? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A can do a work in 15 days .B can complete the work in 20 days .C can complete in 30 days .if all three start together and C leaves after few days and B and A complete the remaining work .if the total paid for this work is 18000 and B get 6000 more than C then . how many days work wil be completed? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A can do a work in 15 days .B can complete the work in 20 days .C can complete in 30 days .if all three start together and C leaves after few days and B and A complete the remaining work .if the total paid for this work is 18000 and B get 6000 more than C then . how many days work wil be completed?.
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