Quadratic Equations Gr.10 Math- Case Study CBSE

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

1. 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

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.

2. Which of the following quadratic equation describe the speed of Raj’s car?

• a) x^2 - 5 x - 500 = 0

• b) x^2 + 4x - 400 = 0

• c) x^2 + 5x - 500 = 0

• d) x^2 - 4x + 400 = 0

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.

3. What is the speed of Raj’s car?

• a) 20 km/hour

• b) 15 km/hour

• c) 25 km/hour

• d) 10 km/hour

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.

4. How much time took Ajay to travel 400 km?

• a) 20 hour

• b) 40 hour

• c) 25 hour

• d) 16 hour

CASE STUDY 2: 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.

1. 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

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.

2. 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

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.

3. Which is the correct quadratic equation for the speed of the current ?

• a) x^2+ 30x − 200 = 0

• b) x^2+ 20x − 400 = 0

• c) x^2+ 30x − 400 = 0

• d) x^2− 20x − 400 = 0

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.

4. What is the speed of current ?

• a) 20 km/hour

• b) 10 km/hour

• c) 15 km/hour

• d) 25 km/hour

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.

5. How much time boat took in downstream?

• a) 90 minute

• b) 15 minute

• c) 30 minute

• d) 45 minute