A and B together can complete a work in 30 day. They started together but after 6 days A left the work and the work is completed by B after 36 more days. A alone can complete the entire work in how many days?

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A and B together can complete a work in 30 day. They started together but after 6 days A left the work and the work is completed by B after 36 more days. A alone can complete the entire work in how many days?

A45

B90

C120

D60

Answer:

B. 90

Read Explanation:

efficiency of A = x efficiency of B = y Work = efficiency ⨯ time 30 ⨯ (x + y) = 6(x + y) + 36 y 24(x + y) = 36y 24x = 12y 2x = y Let x = 1 and y = 2 Work = 30 ⨯ 3 = 90 units Time taken by A alone = 90/1 = 90 days

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