X, Y and Z together can complete a work in 15 days. X and Y together c

1.	X, Y and Z together can complete a work in 15 days. X and Y together can complete the same work in 30 days. Z alone can finish the same work in how many days?1. 35 days2. 45 days3. 30 days4. 40 days
Answer» Correct Answer - Option 3 : 30 days Given: X, Y, and Z together can complete the work = 15 days X and Y can complete the work = 30 days Formula used: W = E × T (Where W = The work, E = The efficiency, and T = Time) Calculation: Let us assume Z alone can complete the work in X days ⇒ The efficiency of X, Y, and Z = \({1\over 15}\) ⇒ The efficiency of X and Y = \({1\over 30}\) ⇒ The efficiency of Z = \({1\over X}\) ⇒ \({{1\over 30}\ +\ {1\over X}}\ =\ {1\over 15}\) ⇒ By solving the value of X ⇒ X = 30 days ∴ The required result will be 30 days.

X, Y and Z together can complete a work in 15 days. X and Y together can complete the same work in 30 days. Z alone can finish the same work in how many days?1. 35 days2. 45 days3. 30 days4. 40 days

Answer» Correct Answer - Option 3 : 30 days

Given:

X, Y, and Z together can complete the work = 15 days

X and Y can complete the work = 30 days

Formula used:

W = E × T

(Where W = The work, E = The efficiency, and T = Time)

Calculation:

Let us assume Z alone can complete the work in X days

⇒ The efficiency of X, Y, and Z = \({1\over 15}\)

⇒ The efficiency of X and Y = \({1\over 30}\)

⇒ The efficiency of Z = \({1\over X}\)

⇒ \({{1\over 30}\ +\ {1\over X}}\ =\ {1\over 15}\)

⇒ By solving the value of X

⇒ X = 30 days

∴ The required result will be 30 days.

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