Quantity I A and B together can do a piece of work in 4 days If A alone can do the same work in 6 da...........

Quantitative Aptitude ( CCS) Arithmatic inequalities

Quantity I: A and B together can do a piece of work in 4 days. If A alone can do the same work in 6 days, then B alone can do the same work in?

Quantity II: A can do a piece of work in 4 hours; B and C together can do it in 3 hours, while A and C together can do it in 2 hours. How long will B alone take to do it?

Quantity I > Quantity II

Quantity I ≥ Quantity II

Quantity II > Quantity I

Quantity II ≥ Quantity I

Quantity I = Quantity II or Relation cannot be established

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Explanation:

I. B work= 1/4 – 1/6 = 2/24 ==> 12 days
II. A’s 1hr work 1/4 .
(B+C’s) 1 hr work 1/3.
(A+C’s) 1hr work 1/2.
A+B+C 1hr work = 1/4+1/3=7/12.
B’s work =7/12 – 1/2=1/12
12hours.

Hence, option 1 is the correct answer.