X does half of the work what Y does in one sixth of the time. They tak

1.	X does half of the work what Y does in one sixth of the time. They take 10 days to complete a work together, how much time Y take to do it alone?1. 70 days2. 40 days3. 50 days4. 80 days
Answer» Correct Answer - Option 2 : 40 days Given: X and Y complete work together in 10 days Calculation: Let Y does the whole work in a days Work done by Y in 1 day = 1/a According to the question: X does the half of 1/a work in a/6 days X does the whole work in 2a/6 days = a/3 days ⇒ Work done by X in one day = 3/a ⇒ Work done by X and Y together in one day =1/a+3/a = 4/a Time taken to complete the whole work by X and Y together = 1/4 = a/4 days Again, a/4 = 10 ⇒ a = 40 days ∴ Time taken by Y in 40 days.

X does half of the work what Y does in one sixth of the time. They take 10 days to complete a work together, how much time Y take to do it alone?1. 70 days2. 40 days3. 50 days4. 80 days

Answer» Correct Answer - Option 2 : 40 days

Given:

X and Y complete work together in 10 days

Calculation:

Let Y does the whole work in a days

Work done by Y in 1 day = 1/a

According to the question:

X does the half of 1/a work in a/6 days

X does the whole work in 2a/6 days = a/3 days

⇒ Work done by X in one day = 3/a

⇒ Work done by X and Y together in one day =1/a+3/a = 4/a

Time taken to complete the whole work by X and Y together = 1/4 = a/4 days

Again,

a/4 = 10

⇒ a = 40 days

∴ Time taken by Y in 40 days.

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