Quantity I Days in which B can complete work alone if A and B can complete work in 40 days B and C i...........

Quantitative Aptitude ( CCS) Arithmatic inequalities

Quantity I: Days in which B can complete work alone, if A and B can complete work in 40 days, B and C in 20 days and C and A in 30 days.

Quantity II: Days in which B can complete work alone, if A and B can complete work in 24 days and A is 50% more efficient than B.

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:
A + B = 40……..3
B + C = 20………6 ……..(LCM = 120)
C+ A = 30……….4
Total = 2 (A+B+C) = 3+6+4 = 13
So A+B+C = 13/2
(A+B+C) – (B+C) = 13/2 – 4 = 5/2
So B can complete work in 120/(5/2) = 48 days
II: Efficiency A …….. B = 3 : 2
So days = 2 …. 3
LCM of 2 and 3 is 6
A = 2………6/2 = 3
B = 3………6/3 = 2
Total A+B = 3+2 = 5
So 6/5 == 24
So 1 == 20
So 3 == 60
So II > I