# Case Study Chapter 4 Quadratic Equation Mathematics

Please refer to Case Study Chapter 4 Quadratic Equation Mathematics with answers provided below. These case study based questions are expected to come in the upcoming Class 10 Mathematics examinations. We have provided case study questions class 10 maths for all chapters on our website as per the latest examination pattern issued by CBSE, NCERT, and KVS.

## Chapter 4 Quadratic Equation Case study Questions Class 10 Maths

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 hours more than Ajay to complete the journey of 400 km.

Question. What is the speed of Raj’s car?
(a) 20 km/hour
(b) 15 km/hour
(c) 25 km/hour
(d) 10 km/hour

A

Question. How much time took Ajay to travel 400 km?
(a) 20 hour
(b) 40 hour
(c) 25 hour
(d) 16 hour

D

Question. 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

A

Question. The roots of the quadratic equation which describe the speed of Raj’s car are
(a) 15, – 20
(b) 20, – 15
(c) 20, – 25
(d) 25, – 25

C

Question. The positive root of √3x2 + 6 = 9 is
(a) 5
(b) –5
(c) 3
(d) –3

A

Question. Which of the following quadratic equation describe the speed of Raj’s car?
( a) x2 – 5 x – 500 = 0
(b) x2 + 4x – 400 = 0
(c) x2 + 5x – 500 = 0
(d) x2 – 4x + 400 = 0

C

The speed of a motor boat is 20 km/hr. For covering the distance of 15 km the boat took 1 hour more for upstream than downstream.

Question. What is the speed of current ?
(a) 20 km/hour
(b) 10 km/hour
(c) 15 km/hour
(d) 25 km/hour

B

Question. Which is the correct quadratic equation for the speed of the current ?
( a) x2+ 30x − 200 = 0
(b) x2+ 20x − 400 = 0
(c) x 2+ 30x − 400 = 0
(d) x2− 20x − 400 = 0

C

Question. Let speed of the stream be x km/hr. then speed of the motorboat in upstream will be
(a) 20 km/hr
(b) (20 + x) km/hr
(c) (20 – x) km/hr
(d) 2 km/hr

C

Question. What is the relation between speed ,distance and time?
(a) speed = (distance )/time
(b) distance = (speed )/time
(c) time = speed x distance
(d) speed = distance x time

A

Question. How much time boat took in downstream?
(a) 90 minute
(b) 15 minute
(c) 30 minute
(d) 45 minute