Quadratic Equation Practical Application

In this page quadratic equation practical application we are going to  see some practical problems of the topic quadratic equations.

To solve any practical problems we have to follow the below steps

(i) Read the given question carefully

(ii) Get data from the question

(iii) If it is necessary we have to draw the picture

(iv) Mark the given details in the picture

(v) Write a equation for the given information

(vi) Try to solve it.



Question 1:

The sum of a number and its reciprocal is 65/8. Find the number


Question 2:   

The difference of the squares of two positive numbers is 45. The square of the smaller number is four times the larger number. Find the numbers.


Question 3:

A farmer wishes to start a 100 sq.m rectangular vegetable garden. Since he has only 30 m barbed wire, he fences the sides of the rectangular garden letting his house compound wall act s the fourth side fence. Find the dimension of the garden.


Question 4 :

A rectangular field is 20 m long and 14 m wide. There is the path of equal width all around it having an area of 111 sq.meters. Find the width of the path on the outside.


Question 5:

A train covers a distance of 90 km at a uniform speed. Had the speed been 15 km/hr more, it would have taken 30 minutes less for the journey. Find the original speed of the train.


Question 6:

The speed of a boat in still water is 15 km/hr. It goes 3 km upstream and return downstream to the original point in 4 hrs 30 minutes. Find the speed of the stream.


Question 7:

One year ago a man was 8 times as old as his son. Now his age is equal to the square of his son’s age. Find their present age.


Question 8:

 A chess board contains 64 equal squares and the area of each square is 6.25 cm2. A border around the board is 2 cm wide. Find the length of the side of chess board.    


Question 9:

A takes less than the time taken by B to finish the piece of work. If both A and B together can finish the work in 4 days. Find the time that B would take to finish the work by himself.


Question 10:

Two trains leave railway stations at the same time. The first train travels due west and the second train due north. The first travels 5 km/hr faster than the second train. If after two hours, they are 50 km apart, find the average speed of each train.


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