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Select the correct answerAmit can complete a piece of work in 16 days. Rohit can complete the same piece of work in 8 days. If both of them work together in how many days can they complete the same piece of work?Options4 2/5 days6 days12 days5 1/3days

Question

Select the correct answerAmit can complete a piece of work in 16 days. Rohit can complete the same piece of work in 8 days. If both of them work together in how many days can they complete the same piece of work?Options4 2/5 days6 days12 days5 1/3days

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Solution

To solve this problem, we first need to find out how much work Amit and Rohit can do in one day.

Amit completes the work in 16 days, so in one day, he completes 1/16 of the work. Rohit completes the work in 8 days, so in one day, he completes 1/8 of the work.

When they work together, their one day's work will be the sum of their individual one day's work.

So, their combined one day's work = 1/16 + 1/8 = 1/16 + 2/16 = 3/16 of the work.

Therefore, to complete the whole work, they will take the reciprocal of this, which is 16/3 = 5 1/3 days.

So, the correct answer is 5 1/3 days.

This problem has been solved

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