Question
Download Solution PDFA takes 8 hours to copy a 50-page manuscript while B can copy the same manuscript in 6 hours. How many hours would it take them to copy a similar 100-page manuscript, if they work together?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven :
Time taken by A = 8 Hour
Time taken by B = 6 Hour
Solution :
Taking LCM of their timing to get the total work :
⇒ 8 = 2 × 2 × 2
⇒ 6 = 2 × 3
LCM = 2 × 2 × 2 × 3 = 24
Total work = 24 Unit = 50 page
48 Unit = 100 page
Efficiency of A = 24 / 8
⇒ 3 Unit/Hour
Efficiency of B = 24 / 6
⇒ 4 Unit/Hour
According to the question time taken by both A and B working together to complete the 100 page manuscript :
⇒ 48 / 7
⇒ \(6\frac{6}{7}\) Hours
Hence the correct answer is "\(6\frac{6}{7}\) Hours".
Last updated on Jul 10, 2025
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