Arithmetic Aptitude Time and Work

• A 5
• B 2
• C 3
• D 7
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C

Answer: C

A can complete the work in 7 days, working 9 hours per day,
so he takes a total of 7 * 9 = 63 hours to complete the work.
Similarly, B takes a total of 6 * 7 = 42 hours to complete the work.
A's 1 hour's work is (1/63) of the total work, and B's 1 hour's work is (1/42) of the total work.
When they work together, their combined 1 hour's work is (1/63) + (1/42) = (5/126) of the total work.
Since they are working 8 hours per day, it will take them 126 / (5 * 8) = 3 days to complete the work.

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