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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: M and N can complete the work in 10 and 20 days respectively. They started doing work together but after 4 days M left the work. In what time N can complete the remaining work? Quantity B: A and B can together complete the work in 12 days. A alone can complete the work in 30 days. If B works for first 4 days alone and then A joins the work, in how many days remaining work will be complete?

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: M and N can complete the work in 10 and 20 days respectively. They started doing work together but after 4 days M left the work. In what time N can complete the remaining work? Quantity B: A and B can together complete the work in 12 days. A alone can complete the work in 30 days. If B works for first 4 days alone and then A joins the work, in how many days remaining work will be complete? Correct Answer Quantity A < Quantity B

Quantity A:

Given,

M’s 1 day’s work = 1/10

N’s 1 day’s work = 1/20

(M + N)’s 1 day’s work =

= (1/10) + (1/20)

= 30/200 = 3/20

(M + N)’s 4 days work = 4 × (3/20) = 3/5

Remaining fraction of work after 4 days =

= 1 – 3/5

= 2/5

N can complete 2/5 of work in =

= (2/5) × (20)

= 8

N can complete 2/5 of work in 8 days.

Quantity B:

Given,

(A + B)’s 1 day’s work = 1/12

A’s 1 day’s work = 1/30

B’s 1 day’s work = 1/12 – 1/30

= 18/(12 × 30)

= 1/20

B’s 4 days work = 4 × (1/20) = 1/5

Remaining work after 4 days = 1 – (1/5) = 4/5

4/5th of work will be completed by A and B together in =

= (4/5) × (12)

= 48/5

From above solution,

Relation between Quantity A < Quantity B is established.

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