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LoginQuestion numbers 23 to 30 carry 4 marks each.23. Anil takes 6 days less than the time taken by Varun to finish a piece of work. Ifboth Anil and Varun together can finish that work in 4 days, find the timetaken by Varun to finish the work independently.
Mathematics Mathematics QA in Mathematics . 2 years ago
+10 pts
LET ANIL BE xAND VARUN BE yAccording To Question x=y-6 y=x+6..........(1)
ANIL TAKES 1/xVARUN TAKES 1/y
NOW, 1/x+1/y=1/4 x+y/xy=1/4............(2)put the value of x in eq. 2 x+x+6/x(x+6)=1/4 2x+6/x²+6x=1/4NOW CROSS MULTIPLY 8x+24=x²+6x x²+6x-8x-24 x²-2x-24 x²-6x+4x-24 x(x-6)+4(x-6) (x+4)(x-6) x=-4(neg) x=6ANIL TAKE 6DAYS FINISH WORK SEPARATELY
NOWVARUN TAKE (X+6) FINISH WORK SEPARATELY∴ 6+6=12
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Posted on 14 Jul 2022, this text provides information on Mathematics related to Mathematics QA in Mathematics. Please note that while accuracy is prioritized, the data presented might not be entirely correct or up-to-date. This information is offered for general knowledge and informational purposes only, and should not be considered as a substitute for professional advice.
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