Latest GRE Aptitude Question SOLUTION: A and B can do a piece of work in 24 days, B and C can do it in 30 days and C and A can do it in 40 days. Which of the following statements is true? Indicate all correct options.

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(#M40165721) GRE Numerical Ability question Keep an EYE

A and B can do a piece of work in 24 days, B and C can do it in 30 days and C and A can do it in 40 days. Which of the following statements is true? Indicate all correct options.
A. A takes 40 days to do the work
B. B takes 40 days to do the work
C. C takes 120 days to do the work
D. B takes 120 days to do the work
E. C takes 60 days to do the work

Asked In GRE Devendra Marghade (5 years ago)

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Srirangam Rajesh  (5 years ago)

A+B=24; B+C=30;C+A=40 this is step 1;
Take lcm of 24,30,40 is 120;
a+b=120/24=5;b+c=120/30=4;c+a=120/40=3;
combine all the equations in step 1 to get
2(a+b+c)=12;
substitute a+b=5;
2(5+c)=12;c=1;
c alone work =total work/by c unit work;
here unit work of c is 1;
therefore c alone work=120/1=120;
do rest all the options .Hope it helps you

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