**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. Rajâ€™s car travels at a speed of x km/h while Ajayâ€™s car travels 5 km/h faster than Rajâ€™s car. Raj took 4 h more than Ajay to complete the journey of 400 km.

(i) What will be the distance covered by Ajayâ€™s car in two hours?

(a) 2 (x + 5) km

(b) (x â€“ 5) km

(c) 2 (x + 10) km

(d) (2x + 5) km

(ii) Which of the following quadratic equation describe the speed of Rajâ€™s car?

(a) x^{2} âˆ’ 5x âˆ’ 500 = 0

(b) x^{2} + 4x âˆ’ 400 = 0

(c) x^{2} + 5x âˆ’ 500 = 0

(d) x^{2} âˆ’ 4x + 400 = 0

(iii) What is the speed of Rajâ€™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