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Pradeep is twice as good as Sandeep to complete awork working together, they can finish a piece of work in 28 days in how many day can pradeep alone finish the work?
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Pradeep is twice as good as Sandeep to complete awork working together...
Understanding the Problem
Pradeep is twice as efficient as Sandeep. When they work together, they can complete the task in 28 days. We need to find out how many days Pradeep would take to finish the work alone.
Defining Work Rates
- Let Sandeep's work rate be "x" (work units per day).
- Therefore, Pradeep's work rate is "2x" (since he is twice as good).
Combined Work Rate
- When working together, their combined work rate is:
(Sandeep's rate) + (Pradeep's rate) = x + 2x = 3x
- They complete the work in 28 days, so their total work can be expressed as:
Total Work = Combined Rate × Time = 3x × 28 = 84x
Finding Sandeep's Rate
- Since 84x represents the total work, we can say:
Total Work = 84 units (assuming "x" represents work units).
- This implies that x (Sandeep's rate) = 1 unit of work per day.
Determining Pradeep's Rate
- Now, since Pradeep works at a rate of 2x:
Pradeep's rate = 2 × 1 = 2 units of work per day.
Calculating Pradeep's Time to Finish Alone
- To find out how many days Pradeep would take to finish the entire work alone:
Days = Total Work / Pradeep's Rate = 84 / 2 = 42 days.
Conclusion
Pradeep can complete the work alone in 42 days.
Pradeep is twice as efficient as Sandeep. When they work together, they can complete the task in 28 days. We need to find out how many days Pradeep would take to finish the work alone.
Defining Work Rates
- Let Sandeep's work rate be "x" (work units per day).
- Therefore, Pradeep's work rate is "2x" (since he is twice as good).
Combined Work Rate
- When working together, their combined work rate is:
(Sandeep's rate) + (Pradeep's rate) = x + 2x = 3x
- They complete the work in 28 days, so their total work can be expressed as:
Total Work = Combined Rate × Time = 3x × 28 = 84x
Finding Sandeep's Rate
- Since 84x represents the total work, we can say:
Total Work = 84 units (assuming "x" represents work units).
- This implies that x (Sandeep's rate) = 1 unit of work per day.
Determining Pradeep's Rate
- Now, since Pradeep works at a rate of 2x:
Pradeep's rate = 2 × 1 = 2 units of work per day.
Calculating Pradeep's Time to Finish Alone
- To find out how many days Pradeep would take to finish the entire work alone:
Days = Total Work / Pradeep's Rate = 84 / 2 = 42 days.
Conclusion
Pradeep can complete the work alone in 42 days.
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Pradeep is twice as good as Sandeep to complete awork working together, they can finish a piece of work in 28 days in how many day can pradeep alone finish the work?
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Pradeep is twice as good as Sandeep to complete awork working together, they can finish a piece of work in 28 days in how many day can pradeep alone finish the work? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Pradeep is twice as good as Sandeep to complete awork working together, they can finish a piece of work in 28 days in how many day can pradeep alone finish the work? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Pradeep is twice as good as Sandeep to complete awork working together, they can finish a piece of work in 28 days in how many day can pradeep alone finish the work?.
Pradeep is twice as good as Sandeep to complete awork working together, they can finish a piece of work in 28 days in how many day can pradeep alone finish the work? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Pradeep is twice as good as Sandeep to complete awork working together, they can finish a piece of work in 28 days in how many day can pradeep alone finish the work? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Pradeep is twice as good as Sandeep to complete awork working together, they can finish a piece of work in 28 days in how many day can pradeep alone finish the work?.
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