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Work and Time - June 15, 2004
The GMAT Sample Math question for the day is from the topic Work and Time.
Question
Ram, who is half as efficient as Krish, will take 24 days to complete a work if he worked alone. If Ram and Krish worked together, how long will they take to complete the work?
A. 16 days
B. 12 days
C. 8 days
D. 6 days
E. 18 days
The correct choice is (C) and the correct answer is 8 days.
Explanatory Answer
Ram takes 24 days to complete the work, if he works alone.
As Krish is twice as efficient as Ram is, Krish will take half the time to complete the work when Krish works alone, i.e., in 12 days.
Ram completes  th of the work in a day.
Krish completes  th of the work in a day.
When they work together, they will complete  th work in a day.
Therefore, when they work together they will complete the work in 8 days.
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