Quiz about Solving Problems Based On Quadratic Equations

Question 1

![](http://admin.getprephub.com/media/editor/3218_20220102162310710440.png)
Raj and Ajay are very close friends. Both the families decide to go to Ranikhet by their own cars. Raj car travels at a speed of $$x {~km} / {h}$$ while Ajay's car travels. $$5 {km} / {h}$$ faster thanRaj's car. Raj took $$4~h$$ more than Ajay to complete the journey of $$400 {~km}$$. 
How much time took Raj to travel $$400 {~km}$$ ?

Accepted Answer

Covalent bond

Answer

$$20 {~h}$$

Answer

$$15 {~h}$$

Answer

$$18 {~h}$$

Answer

$$22 {~h}$$

Question 2

![](http://admin.getprephub.com/media/editor/3223_20220102162731883076.png)
The speed of a motor boat is $$20 {~km} / {h}$$. For covering the distance of $$15 {~km}$$ the boat took $$1 {~h}$$ more for upstream than downstream.Let speed of the stream be $$x {~km} / {h}$$, 
then speed of the motorboat in upstream will be

Accepted Answer

Covalent bond

Answer

$$(20-x) {km} / {h}$$

Answer

$$20 {~km} / {h}$$

Answer

$$(20+x) {km} / {h}$$

Answer

$$2 {~km} / {h}$$

Question 3

![](http://admin.getprephub.com/media/editor/3223_20220102162731883076.png)
The speed of a motor boat is $$20 {~km} / {h}$$. For covering the distance of $$15 {~km}$$ the boat took $$1 {~h}$$ more for upstream than downstream.
What is the relation between speed, distance and time?

Accepted Answer

Covalent bond

Answer

$${Speed}=\frac{	ext { Distance }}{	ext { Time }}$$

Answer

$$Distance =\frac{	ext { Speed }}{	ext { Time }}$$

Answer

$$Time = 	ext{Speed} 	imes 	ext {Distance}$$

Answer

$$Speed = 	ext{Time} 	imes 	ext {Distance}$$

Question 4

Seven years ago, Varun's age was five times the square of Swati's age. Three years hence, Swati's age will be two-fifth of Varun's age.
The quadratic equation related to the given problem is

Accepted Answer

Covalent bond

Answer

$$2 x^{2}-x-6=0$$

Answer

$$5 x^{2}-x+6=0$$

Answer

$$3 x^{2}-2 x+5=0$$

Answer

$$7 x^{2}-3 x+1=0$$

Question 5

![](http://admin.getprephub.com/media/editor/3223_20220102162731883076.png)
The speed of a motor boat is $$20 {~km} / {h}$$. For covering the distance of $$15 {~km}$$ the boat took $$1 {~h}$$ more for upstream than downstream.
How much time boat took in downstream?

Accepted Answer

Covalent bond

Answer

$$30 {~min}$$

Answer

$$90 {~min}$$

Answer

$$15 {~min}$$

Answer

$$45 {~min}$$

Solving Problems Based On Quadratic Equations Icse Class 10 Maths Problems and Solutions

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