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A shopkeeper has a job to print certain number of documents and there are three machines P, Q and R for this job. P can complete the job in 3 days, Q can complete the job in 4 days and R can complete the job in 6 days. How many days the shopkeeper will it take to complete the job if all the machines are used simultaneously ?

4/3 days
2 days
3/2 days
4 days

Correct Answer: 4/3 days

Explanation:

Let the total number of documents to be printed be 12.

The number of documents printed by P in 1 day = 4.

The number of documents printed by Q in 1 day = 3.

The number of documents printed by R in 1 day = 2.

Thus, the total number of documents that can be printed by all the machines working simultaneously in a single day = 9.

Therefore, the number of days taken to complete the whole work = 12/9 = 4/3 days.

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