Question
Three pipes A, B and C can fill a tank in t, (t+12) &
(t-12) hours respectively. Pipe A opened for d hours in the tank and after that B and C also opened in the tank, while all three pipes opened for (d+6) hours and after that pipes A and C closed. If the remaining tank filled by pipe B in (d+2) hours and tank filled by pipe A in three hours equal to tank filled by B in four hours, then find in (t+3d) hours what portion of tank will be filled by pipe B.ÂSolution
Given, tank filled by pipe A in three hours equal to tank filled by B in four hours Let efficiency of pipe A and B be a & b respectively So, a×3=b×4 a/b=4/3  And ratio of time taken by pipe A and B will be 3 : 4 ATQ. t/(t+12)=3/4  t=36 So, time taken by pipe A to fill the tank = 36 hours Time taken by pipe B to fill the tank = (36 + 12) = 48 hours Time taken by pipe C to fill the tank = (36 – 12) = 24 hours So, total capacity of tank = 144 units (L.C.M. of 36, 48 and 24) Efficiency of pipe A = 144/36=4 units/hour Efficiency of pipe B = 144/48=3 units/hour Efficiency of pipe C = 144/24= 6 units/hour  ATQ. 4×d+13(d+6)+3(d+2)=144  4d+13d+78+3d+6=144 20d = 60 d = 3 Required portion = [((36+3×3)×3)/144] = 15/16
The demand function for a good is X = 5000 – 10Px + 15Py + 0.2Y, where in Px is the price of X, Py is the price of another good and Y is the incom...
In classical linear regression model if we add in 90 in X and Y observation and re-estimate the regression model then slope coefficient
The 2nd phase (diminishing returns to a factor) is exhibited by the following total product sequence:
Assertion (A): A very high R2 value (e.g., 0.98) in a multiple linear regression model always indicates that the model is highly effective for predicti...
In a floating exchange rate regime, if the demand for a country's exports increases, its currency will typically:
In the context of the Classical model, which of the following would cause a shift in the long-run aggregate supply curve (LRAS)?
What is the investment multiplier when the marginal propensity to consume is 0.60 and the marginal propensity to import is 0.20
Employing a lawyer to draft and enforce a private contract between parties wishing to solve an externality problem is an example of a(n) ______________cost
The median is considered a better measure of central tendency than the mean when:
If the demand is 100 during October 2016, 200 in November 2016, 300 in December 2016, 400 in January 2017. What is the 3-month simple moving average for...
Relevant for Exams:
