Latest SSC Aptitude Question SOLUTION: Three men A,B,C working together can do a job in 6hours less time than A alone, in 1 hour less time than B aloneand in one half the time needed by c when working alone.Then A and B

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(#M40041001) SSC Numerical Ability question Keep an EYE

Three men A,B,C working together can do a job in 6hours less time than A alone, in 1 hour less time than B aloneand in one half the time needed by c when working alone.Then A and B together can do the job in ?

Asked In SSC Kiran Kumar Pradhan (9 years ago)

Solved a ramakrishna Read Solution (3)

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Read Solution (3) :

a ramakrishna  (9 years ago)

1/a+1/b+1/c=1/x
1/(x+6)+1/(x+1)+1/(2x)=1/x
x=2/3
1/t=1/a+1/b=1/x-1/c=1/2x=3/4
t=4/3

Is this solution Helpfull? Yes (3) | No (1)  

a ramakrishna  (9 years ago) Best Solution

1/a+1/b+1/c=1/x
1/(x+6)+1/(x+1)+1/(2x)=1/x
(x+1)(2x)+(x+6)(2x)+(x+1)(x+6)/(x+1)(x+6)(2x)=1/x
5x^2+21x+6/2x^3+14x^2+12x=1/x
5x^3+21x^2+6x=2x^3+14x^2+12x
3x^3+7x^2-6x=0
x(3x^2+7x-3)=0
x(3x^2+9x-2x-6)=0
x(3x(x+3)-2(x+3))=0
x(3x-2)(x+3)=0
therefore x=0
x=2/3
x=-3
x=2/3 is considered
1/t=1/a+1/b=1/x-1/c=1/2x=3/4
t=4/3

Is this solution Helpfull? Yes (2) | No (2)  

Chirag Ranjan Lahiri  (9 years ago)

1/a+1/b+1/c=1/x
1/(x+6)+1/(x+1)+1/(2x)=1/x
x=2/3
1/t=1/a+1/b=1/x-1/c=1/2x=3/4
t=4/3

Is this solution Helpfull? Yes (1) | No (1)  

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