In this page problems on quadratic equation1 we are going to see how to solve word problems on the topic quadratic equation.
Questions 
Solution 
(21) 1 year ago a father was 8 times as old as his son. Now his age is square of his son’s age. Find the present age.  
(22) The sum of the age of a father and his son is 45 years. Five years ago the product of their ages was 124. Determine their present age.  
(23) The side of a square exceeds the side of another square by 4 cm and the sum of the area of two squares is 400 sq.cm. Find the dimensions of the squares.  
(24) The length of the rectangle exceeds its width by 2 cm and the area of the rectangle is 195 sq.cm. Find the dimensions of the rectangle.  
(25) The area of the right angled triangle is 500 cm². If the base of the
triangle exceeds the altitude by 15 cm,find the dimensions of the
triangle.  
(26) The footpath of uniform width runs all around a rectangular field 28 meters long and 22 meters wide. If the path occupies 600 m² area, find the width of the path.  
(27) A passenger train takes 3 hours less than a slow train for journey of 600 km. If the speed of the slow train is 10 km/hr less than that of the passenger train, find the speed of two trains.  
(28) The distance between two stations A and B is 192 km. Traveling by a fast train takes 48 minutes less than another train. Calculate the speed of the fast train if the speeds of two trains differ by 20 km/hr 

(29) A train covers a distance of 300 km at a certain average speed. If its speed was decreased by 10km/hr, the journey would take 1 hour longer. What is the average speed.  
(30) The time taken by a train to travel a distance of 250 km was reduced by 5/4 hours when average speed was increased by 10km/hr. Calculate the average speed. 
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