Math, asked by jisoorabbitkimdabest, 4 months ago

Nidhi and Ria are very close friends. Nidhi’s parents own a Maruti Alto. Ria’s
parents own a Toyota Liva. Both the families decide to go for a picnic to
Somnath temple in Gujrat by their own cars
Nidhi’s car travels x km/h while
Ria’s car travels 5 km/h more than Nidhi’s car. Nidhi’s car took 4 hrs more than
Ria’s car in covering 400 km.

(i) What will be the distance covered by Ria’s car in two hour?
(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 Nidhi’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 the speed of Nidhi’s car?
(a) 20 km/hour
(b) 15 km/hour
(c) 25 km/hour
(d) 10 km/hour

(iv) How much time took Ria to travel 400 km?
(a) 20 hours
(b) 40 hours
(c) 25 hours
(d) 16 hours

(v) If Ria’s car travels in a speed of 120 km/hr in 2 hours then what is the
distance covered?
(a) 60 km
(b) 40 km
(c) 25 km
(d) 30 km

Answers

Answered by amitnrw
51

Given : Nidhi’s car travels x km/h while

Ria’s car travels 5 km/h more than Nidhi’s car.

Nidhi’s car took 4 hrs more than  Ria’s car in covering 400 km.

To Find :  What will be the distance covered by Ria’s car in two hour?

(a) 2(x + 5) km   , (b) (x - 5) km   , (c) 2(x + 10) km   , (d) (2x + 5) km

quadratic equation describe the speed of Nidhi’s car

speed of Nidhi’s car

Solution:

Nidhi’s car speed =  x km/h  

Ria’s car travels 5 km/h more than Nidhi’s car.

=> Ria’s car speed =  x+ 5  km/h  

Distance = Speed x Time

distance covered by Ria’s car in two hour =  (x + 5) 2

= 2(x + 5)  km

(a) 2(x + 5) km

400/x   = 400/(x + 5)  + 4

=> 100(x + 5) = 100x  +  x(x + 5)

=> 100x + 500 = 100x + x² + 5x

=> x² + 5x - 500 = 0

quadratic equation describe the speed of Nidhi’s car x² + 5x - 500 = 0

x² + 5x - 500 = 0

=> (x + 25)(x - 20) = 0

=> x = 20  

Nidhi’s car speed =  20 km/hr

Ria car speed = 25 km/hr

time taken by  Ria to travel 400 km = 400/25 = 16 hrs

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Answered by tanmayg0612
11

Answer:

a.) 2(x+5)

b.) x^2+5x-500

c.)20 km/hr

Step-by-step explanation:

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