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InterviewSolution
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Question 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. |
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Answer» 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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