Question
Download Solution PDFM is thrice as efficient as workman N and therefore is able to finish a job in 262 days less than N. Then in how many days can N finish the entire work?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Efficiency of M = 3 × Efficiency of N
Time difference = 262 days
Formula used:
Work = Efficiency × Time
If M is 3 times as efficient as N, then Time taken by M = (1/3) × Time taken by N
Calculation:
Let time taken by N = x days
Time taken by M = x/3 days
Time difference = Time taken by N - Time taken by M
⇒ 262 = x - x/3
⇒ 262 = 2x/3
⇒ x = (262 × 3) / 2
⇒ x = 393
∴ N can finish the entire work in 393 days.
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