Latest self Aptitude Question SOLUTION: mini and vinay are quiz masters preparing for the quiz.in 'x' minutes,mini makes 'y' ques. more than vinay.if it were possible to reduce the time needed by each to make a question

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(#M40019072) SELF question Keep an EYE

mini and vinay are quiz masters preparing for the quiz.in 'x' minutes,mini makes 'y' ques. more than vinay.if it were possible to reduce the time needed by each to make a question by two minutes, then in 'x' minutes mini would make 2y questions more than vinay.how many questions does mini makes in 'x' minutes?

sankalp ravi (11 years ago)

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Atanu Roy  (10 years ago)

ax/(x-2a)-(a-y).x/(x-2a+2y)=2y
ax/(x-2a)-2y=(a-y).x/(x-2a+2y)
(ax-2yx+4ay)/(x-2a)=(ax-yx)/(x-2a+2y)
(ax-2yx+4ay).(x-2a+2y)-(x-2a)(ax-yx)=0
(x-2a)(ax-2yx+4ay-ax+yx)+2y(ax-2yx+4ay)=0
(x-2a)(4ay-yx)+2y(ax-2yx+4ay)=0
(x-2a).y.(4a-x)+2y.(ax-2yx+4ay)=0
(4ax-x^2-8a^2+2ax).y+y.(2ax-4yx+8ay)=0
y(8ax-x^2-8a^2+8ay)=0
y(8a(x-a+y)-x^2)=0
8ay(x+y-a)=yx^2
a(x+y-a)=yx^2/8y
a(x+y-a)=x^2/8
a^2-ax-ay+x^2/8=0
a^2-a(x+y)+x^2/8=0
solving for a for 2nd degree equations.
a1=((x+y)+sqrt((x+y)^2-4.x^2/8))/2 or
a2=((x+y)-sqrt((x+y)^2-4.x^2/8))/2

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