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Multiple Choice Questions

A and B produced similar chairs When A worked for 2 hrs and B for 5 hrs they completed half of the w...........

Quantitative Aptitude (CCS) Time and work

A and B produced similar chairs. When A worked for 2 hrs and B for 5 hrs, they completed half of the work. Next they worked together for 3 hrs. If 1/20th of the work is yet to be completed, then find in how many hours can B complete the work working alone?

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Explanation:

Solution:
Let A can complete work in a days and B in b days.
So 2/a + 5/b = 1/2 …..(1)
Now 1/20 work is left after further 3 days. So in 3 days work completed is 1 – (1/2 + 1/20) = 9/20
So 3/a + 3/b = 9/20 ……(2)
Solve equations 1 and 2. b = 15

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