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In how many days Amit and montu together can complete the work?Which of the following option is sufficient alone to find the answer?1. Efficiency of Amit, Vikas and Montu is in the ratio of 2 : 3 : 4 and they all together can complete the work in 24 days.2. Efficiency of Amit and Akash is in the ratio of 3 : 2 and Amit, Akash and Montu together can complete the work in 8 days3. Amit alone can complete the work in 15 days and Sonu and Montu together complete the work in 10 days.4. Efficiency of Amit and Montu is 2 : 3 and Montu and Akash together can complete the work in half of the time taken by Amit alone.5. None of the given option is sufficient to find the answer.

Answer» Correct Answer - Option 1 : Efficiency of Amit, Vikas and Montu is in the ratio of 2 : 3 : 4 and they all together can complete the work in 24 days.

From A:

Ratio of time taken by Amit, Vikas and Montu = ½ : 1/3 : ¼ = 6 : 4 : 3

So, 1/6z + 1/4z + 1/3z = 1/24

⇒ (2 + 3 + 4)/12z = 1/24

⇒ z = 18

So, Amit and Montu together can complete the work in = 1/(1/6z + 1/3z) = 1/3/6z = 2z = 36 days.

Hence, option a alone is sufficient.

From B :

Amit and Akash can complete the work in 2z and 3z days respectively.

And Amit, Akash and Montu together can complete the work in 8 days

From this information we cannot find the answer.

From C:

Amit alone can complete the work in 15 days.

Sonu and Montu together complete the work in 10 days.

But here Montu alone complete the work in how many days is not given.

From this information we cannot find the answer.

From D:

Efficiency of Amit and Montu is 2 : 3

Let Amit and Montu can complete the work in 3z and 2z days respectively.

And Montu and Sonu together can complete the work in half of the time taken by Amit alone.

From this information, we cannot find the answer.



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