JEE Mains · Maths · STD 11 - 4.2 Quadratic equations and inequations
A building construction work can be completed by two masons A and B together in 22.5 days. Mason A alone can complete the work in 24 days less than mason B alone. Then mason A alone will complete the work in:
- A 24 days
- B 42 days
- C 30 days
- D 36 days
Answer & Solution
Correct Answer
(D) 36 days
Step-by-step Solution
Detailed explanation
Let time taken by mason a alone to complete the work be in x days so, mason B along take \(x+24\) days work done by A in 1 day \(=\frac{1}{x}\) work done by \(B\) in 1 day \(=\frac{1}{x+24}\) so work done by \(A + B\) in 1 day \(=\frac{1}{22.5}\) So,…
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Maths
- The number of elements in the set \(\left\{A=\left(\begin{array}{ll}a & b \\ 0 & d\end{array}\right): a, b, d \in\{-1,0,1\}\right.\) and \(\left.(I-A)^{3}=I-A^{3}\right\}\) where \(I\) is \(2 \times 2\) identity matrix, is :JEE Mains 2021 Hard
- If \(10\) different balls are to be placed in \(4\) distinct boxes at random, then the probability that two of these boxes contain exactly \(2\) and \(3\) balls isJEE Mains 2020 Hard
- Let the volume of a parallelopiped whose coterminous edges are given by \(\overrightarrow{\mathrm{u}}=\hat{\mathrm{i}}+\hat{\mathrm{j}}+\lambda \hat{\mathrm{k}}, \overrightarrow{\mathrm{v}}=\hat{\mathrm{i}}+\hat{\mathrm{j}}+3 \hat{\mathrm{k}} \) and \(\overrightarrow{\mathrm{w}}=2 \hat{\mathrm{i}}+\hat{\mathrm{j}}+\hat{\mathrm{k}}\) be \(1\; cu.\) unit. If \(\theta\) be the angle between the edges \(\overrightarrow{\mathrm{u}}\) and \(\overrightarrow{\mathrm{w}},\) then \(\cos \theta\) can beJEE Mains 2020 Hard
- Let \(\alpha \) and \(\beta \) be two roots of the equation \(x^2 + 2x + 2 = 0\) , then is equal to \({\alpha ^{15}} + {\beta ^{15}}\) is equal toJEE Mains 2019 Hard
- Let \(A =\{1,2,3,4, \ldots .10\}\) and \(B =\{0,1,2,3,4\}\) The number of elements in the relation \(R =\{( a , b )\) \(\left.\in A \times A : 2( a - b )^2+3( a - b ) \in B \right\}\) is \(.........\).JEE Mains 2023 Hard
- Let \(B=\left[\begin{array}{ccc}1 & 3 & \alpha \\ 1 & 2 & 3 \\ \alpha & \alpha & 4\end{array}\right], \alpha > 2\) be the adjoint of \(a\) matrix \(A\) and \(| A |=2\), then \([\alpha\,\,-2 \alpha \,\, \alpha \,\,] B \left[\begin{array}{c}\alpha \\ -2 \alpha \\ \alpha\end{array}\right]\) is equal to :-JEE Mains 2023 Hard
More PYQs from JEE Mains
- The point \((2, 1 )\) is translated parallel to the line \(L\) \(: x - y= 4\) by \(2\sqrt 3\,units\) . If the new points \(Q\) lies in the third quadrant, then the equation of the line passing through \(Q\) and perpendicular to \(L\) isJEE Mains 2016 Hard
- Let \(S\) be the region bounded by the curves \(y=x^{3}\) and \(y ^{2}= x\). The curve \(y =2| x |\) divides \(S\) into two regions of areas \(R_{1}\) and \(R_{2}\). If \(\max \left\{R_{1}, R_{2}\right\}=R_{2}\), then \(\frac{R_{2}}{R_{1}}\) is equal toJEE Mains 2022 Hard
- Let \( y=y(x) \) be a differentiable function in the interval \( (0, \infty) \) such that \( y(1)=2 \) and \( \lim_{t\rightarrow x}(\frac{t^{2}y(x)-x^{2}y(t)}{x-t})=3 \) for each \( x>0. \) Then \( 2y(2) \) is equal toJEE Mains 2026 Easy
- A bag contains six balls of different colours. Two balls are drawn in succession with replacement. The probability that both the balls are of the same colour is p. Next four balls are drawn in succession with replacement and the probability that exactly three balls are of the same colours is \(q\). If \(p : q = m\) \(: n\), where \(m\) and \(n\) are coprime, then \(m + n\) is equal to \(..........\).JEE Mains 2023 Hard
- Let \(f(x)\) be a real differentiable function such that \(f(0)=1\) and \(f(x+y)=f(x) f^{\prime}(y)+f^{\prime}(x) f(y)\) for all \(x, y \in \mathbf{R}\). Then \(\sum_{\mathrm{n}=1}^{100} \log _{\mathrm{e}} f(\mathrm{n})\) is equal to :JEE Mains 2025 Medium
- If the function \(f(x)=\left\{\begin{array}{cc}\frac{72^x-9^x-8^x+1}{\sqrt{2}-\sqrt{1+\cos x}} & , x \neq 0 \\ a \log _e 2 \log _e 3 & , x=0\end{array}\right.\) is continuous at \(x=0\), then the value of \(a^2\) is equal toJEE Mains 2024 Hard