Anil takes 6 days less than the time taken by Varun to finish a piece of work.If both Anil and Varun together can finish that work in 4days find the time taken by Varun to finish the work independently.
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LET TIME TAKEN BY ANIL BE x AND THAT OF VARUN BE yAccording To Question x=y-6 y=x+6..........(1)
ANIL TAKES 1/x
VARUN TAKES 1/y
NOW, 1/x+1/y=1/4
x+y/xy=1/4............(2)
put the value of y in eq. 2
x+x+6/x(x+6)=1/4
2x+6/x²+6x=1/4
NOW 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=6
ANIL TAKE 6DAYS FINISH WORK
SEPARATELY NOW VARUN TAKE (X+6) FINISH WORK SEPARATELY ∴ 6+6=12
:) Hope this Helps!!!
ANIL TAKES 1/x
VARUN TAKES 1/y
NOW, 1/x+1/y=1/4
x+y/xy=1/4............(2)
put the value of y in eq. 2
x+x+6/x(x+6)=1/4
2x+6/x²+6x=1/4
NOW 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=6
ANIL TAKE 6DAYS FINISH WORK
SEPARATELY NOW VARUN TAKE (X+6) FINISH WORK SEPARATELY ∴ 6+6=12
:) Hope this Helps!!!
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