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CBSE Class 10- Mathematics: Chapter β 4 Quadratic Equations Part 22
Question 2:
An express train takes 1 hour less than a passenger train to travel between Mysore and Bangalore (without taking into consideration the time they stop at intermediate stations) . If, the average speed of the express train is more than that of the passenger train, find the average speed of two trains.
Answer:
Let average speed of passenger train
Let average speed of express train
Time taken by passenger train to cover hours
Time taken by express train to cover hours
According to the given condition,
Comparing equation with general quadratic equation , we get and
Applying Quadratic Formula
As speed cannot be in negative. Therefore, speed of passenger train
And speed of express train
Question 3:
Sum of areas of two squares is . If, the difference of their perimeters is metres, find the sides of the two squares.
Answer:
Let perimeter of first square metres
Let perimeter of second square metres
Length of side of first square meters {Perimeter of square = 4 Γ length of side}
Length of side of second square metres
Area of first square side side
Area of second square
According to given condition:
Comparing equation with standard form ,
We get and
Applying Quadratic Formula
Perimeter of square cannot be in negative.
Therefore, we discard .
Therefore, perimeter of first square metres
And Perimeter of second square metres
Side of First square
And Side of second Square