MAH CET MCA Time And Work Previous Year Questions (PYQs)
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$x, y, z$ are painters.
X paints wall of area A in 10 hrs.
Y paints the same wall in 20 hrs.
Together, X, Y, and Z finish 2A in 8 hrs.
Find how many hours Z alone will take to paint wall A.
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Solution
Work done per hr:
$X = \dfrac{1}{10},\quad Y = \dfrac{1}{20}$
Together with Z:
$\dfrac{2}{8} = \dfrac{1}{4} = \dfrac{1}{10} + \dfrac{1}{20} + \dfrac{1}{z}$
$\Rightarrow \dfrac{1}{z} = \dfrac{1}{4} - \dfrac{3}{20} = \dfrac{1}{10}$
$\Rightarrow z = 10$ hours.
A and B can complete a work in 12 days, B and C complete a work in 15 days and C and A can complete a work in 20 days. Find in how many days they all together can complete a work?
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Solution
MAH CET MCA
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