**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) x^{2} − 5x − 500 = 0

(b) x^{2} + 4x − 400 = 0

(c) x^{2} + 5x − 500 = 0

(d) x^{2} − 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