Question
Download Solution PDFSapna is double efficient as compared to Rakesh. If they both work together on a project and complete it in 48 days, then the number of days in which Sapna alone can complete the project is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Sapna is double efficient as compared to Rakesh.
If they both work together on a project and complete it in 48 days.
Formula used:
Let Sapna's work rate be S and Rakesh's work rate be R.
S = 2R
Combined work rate = S + R = 2R + R = 3R
Time taken when working together = 48 days
Total work = Work rate × Time
Calculation:
Total work = 3R × 48 = 144R
Time taken by Sapna alone to complete the project = Total work / Sapna's work rate
⇒ Time taken by Sapna = 144R / 2R
⇒ Time taken by Sapna = 72 days
∴ The correct answer is option 2.
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