algebra distance problems

Let the speed of the boat in still water = x km/h, and The speed of the current be = y km/h. Time taken to go down stream = 2 hours Time x Speed = Distance 2(x + y) = 40 x + y = 20 (Divided by 2) (1) Again, the speed of the boat upstream = (x - y) km/h Time take to go up stream = 4 hours ..

Ordered Pairs and Cartesian Product - In a Rectangular Cartesian System of coordinates the position of a point in a plane is determined by an ordered pair whose elements give the distances from the intersecting straight lines at right angles to each other. These lines are called the axes...

>A number of two digits p and q in that order is 7 greater than the number formed by reversing the digits. The ten's digit is p and the unit's digit is q. Then the number is 10p + q. The number formed by reversing the digits = 10q + p (10p + q) - (10q + p) = 7 A man walks for 'a' hours at x km/hr a..

>A number of two digits p and q in that order is 7 greater than the number formed by reversing the digits. The ten's digit is p and the unit's digit is q. Then the number is 10p + q. The number formed by reversing the digits = 10q + p (10p + q) - (10q + p) = 7 A man walks for 'a' hours at x km/hr a..

Problems on Simultaneous Equations - If one number is thrice the other and their sum is 60, find the numbers. Let the numbers be x and y. x is 3 times y x = 3y (1) Sum of x and y is 60 x + y = 60 (2) Putting the value of x from (1) in (2), we get, 3y + y = 60 4y = 60 y = 15 Substituting y..

If f and g are two functions defined over same domain D, then we have certain set of identities which can be used for solving limits problems with variables like algebraic expression..

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Question 1 - Question: Solve the following equation: 3(x-1)=8 Answer: 3(x-1)=8 3x-3=8 3x=8+3 3x=..

An inequation is said to be linear if each term of the algebraic expression (or expressions) of the inequation contains first degree variables (not the product of variables..

Summary Simultaneous Equations - Finding the solution by the method of substitution. Finding the solution by the method of substitution. (i) Coefficients of one of the variables (say x) in the two equations are made equal, by multiplying them with suitable factors. (ii) By addition or subtraction, ..