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In the following question, two statements are numbered as A and B. On solving these statements, we get quantities A and B respectively. Solve both quantities and choose the correct option. Quantity I: A alone can complete the work in 45 days while B alone can complete the work in 30 days. If both work for 10 days then A left the job and remaining work is completed by B and C in 16/3 days. In what time A and C can complete the work? Quantity II: 26/3 days 

In the following question, two statements are numbered as A and B. On solving these statements, we get quantities A and B respectively. Solve both quantities and choose the correct option. Quantity I: A alone can complete the work in 45 days while B alone can complete the work in 30 days. If both work for 10 days then A left the job and remaining work is completed by B and C in 16/3 days. In what time A and C can complete the work? Quantity II: 26/3 days  Correct Answer <span lang="EN-US" style=" line-height: 107%; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;">Quantity I &gt; Quantity II</span>

Quantity I:

A's 1 day's work = 1/45

B's 1 day's work = 1/30

(A + B)’s 1 days work = 1/45 + 1/30 = 1/18

(A + B)’s 10 days work = 10/18 = 5/9

Remaining work = 1 – 5/9 = 4/9

⇒ 1/C + 1/30 = 4/9 × 3/16 = 1/12

⇒ 1/C = 1/20

(A + C)’s 1 day's work = 1/45 + 1/20 = 13/180

A and C alone can complete the work in 180/13 days.

Quantity II: 26/3 days

So, we can observe Quantity I > Quantity II.

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