Given below are two quantities named A and B. Based on the given information, you have to determine the relation between the two quantities. You should use the given data and your knowledge of Mathematics to choose between the possible answers.
Quantity A: A and B can do a work in 8/3 days, B and C can do the same work in 3 days and A and C can do the same work in 24/5 days. In what time C alone can complete the work?
Quantity B: 15
Quantity A:
A and B can complete the work in = 3/8 days
B and C can complete the work in = 1/3 days
A and C can complete the work in = 5/24 days
(1/A) + (1/B) = 3/8
(1/B) + (1/C) = 1/3
(1/A) + (1/C) = 5/24
Solving above equation,
(1/C) – (1/A) = 1/3 – 3/8
(1/C) – (1/A) = (-1/24)
(1/A) + (1/C) = 5/24
Solving equation,
2(1/C) = 4/24
(1/C) = 1/12
C alone can complete the work in 12 days.
Quantity B: 15
Quantity A < Quantity B
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