Case Study Questions for Class 10 Maths Chapter 4 Quadratic Equations
Question 1:
Raj and Ajay are very close friends. Both the families decide to go to Ranikhet by their own cars. Raj’s car travels at a speed of x km/h while Ajay’s car travels 5 km/h faster than Raj’s car. Raj took 4 h more than Ajay to complete the journey of 400 km.

(i) What will be the distance covered by Ajay’s car in two hours?
(a) 2 (x + 5) km
(b) (x – 5) km
(c) 2 (x + 10) km
(d) (2x + 5) km
(ii) Which of the following quadratic equation describe the speed of Raj’s car?
(a) x2 − 5x − 500 = 0
(b) x2 + 4x − 400 = 0
(c) x2 + 5x − 500 = 0
(d) x2 − 4x + 400 = 0
(iii) What is the speed of Raj’s car?
(a) 20 km/h
(b) 15 km/h
(c) 25 km/h
(d) 10 km/h
(iv) How much time took Ajay to travel 400 km?
(a) 20 h
(b) 40 h
(c) 25 h
(d) 16 h
(v) How much time took Raj to travel 400 km?
(a) 15 h
(b) 20 h
(c) 18 h
(d) 22 h
You may also like:
Chapter 1 Real Numbers
Chapter 2 Polynomials
Chapter 3 Pair of Linear Equations in Two Variables
Chapter 4 Quadratic Equations
Chapter 5 Arithmetic Progressions
Chapter 6 Triangles
Chapter 7 Coordinate Geometry
Chapter 8 Introduction to Trigonometry
Chapter 9 Some Applications of Trigonometry
Chapter 10 Circles
Chapter 11 Constructions
Chapter 12 Areas Related to Circles
Chapter 13 Surface Areas and Volumes
Chapter 14 Statistics
Chapter 15 Probability