Class 10 Exam > Class 10 Questions > Nidhi and Ria are very close friends. Nidhi’s...
Start Learning for Free
Nidhi and Ria are very close friends. Nidhi’s parents own a Maruti Alto. Ria’sparents 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.?
Most Upvoted Answer
Nidhi and Ria are very close friends. Nidhi’s parents own a Maruti Alt...
Explanation of Nidhi and Ria's Picnic
Given Information
- Nidhi's car speed = x km/h
- Ria's car speed = 5 km/h more than Nidhi's car speed
- Nidhi's car took 4 hours more than Ria's car to cover 400 km
Calculating Nidhi's and Ria's Speed
Let's assume that Ria's car speed is y km/h. We know that Ria's car speed is 5 km/h more than Nidhi's car speed, so y = x + 5.
Now, we can calculate the time taken by Nidhi's car and Ria's car to cover 400 km.
- Time taken by Nidhi's car = 400/x
- Time taken by Ria's car = 400/y
Equation for Time Difference
According to the given information, Nidhi's car took 4 hours more than Ria's car to cover 400 km.
So, the equation for time difference is:
400/x - 400/y = 4
Substituting Value of y in Equation
As we know that y = x + 5, we can substitute the value of y in the equation for time difference.
400/x - 400/(x+5) = 4
Solving the Equation
Let's simplify the equation:
- 400(x+5) - 400x = 4x(x+5)
- 2000 = 4x^2 + 20x
- x^2 + 5x - 500 = 0
- (x+25)(x-20) = 0
So, the possible values of x are -25 and 20. But the speed cannot be negative, so x = 20 km/h.
Calculating Ria's Car Speed
As we know that y = x + 5, we can calculate the speed of Ria's car.
y = x + 5 = 20 + 5 = 25 km/h
Conclusion
Nidhi's car speed is 20 km/h and Ria's car speed is 25 km/h. Nidhi's car took 10 hours to cover 400 km and Ria's car took 6 hours to cover 400 km. The time difference between Nidhi's car and Ria's car is 4 hours, which is the given information.
Community Answer
Nidhi and Ria are very close friends. Nidhi’s parents own a Maruti Alt...
Let Speed of Nidhi = x km/h
Time = D/s
t = 400/x
Speed of Ria = (x + 5) km/h more than nidhi
t= 400/ x+5
According to the question the quadratic equation is
400/x-400/x+5 = 4 hours
400(1/x -1/x+5) = 4
1/x -1/x+5 =4/400 = 1/100
x+5 -x / x(x+5) = 1/100
5/x²+5x =1/100
cross multiply and we will get ,
500 = x²+5x
x²+5x = 500
x²+5x -500 = 0 this is the quadratic equation
Time = D/s
t = 400/x
Speed of Ria = (x + 5) km/h more than nidhi
t= 400/ x+5
According to the question the quadratic equation is
400/x-400/x+5 = 4 hours
400(1/x -1/x+5) = 4
1/x -1/x+5 =4/400 = 1/100
x+5 -x / x(x+5) = 1/100
5/x²+5x =1/100
cross multiply and we will get ,
500 = x²+5x
x²+5x = 500
x²+5x -500 = 0 this is the quadratic equation
Attention Class 10 Students!
To make sure you are not studying endlessly, EduRev has designed Class 10 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 10.
|
Explore Courses for Class 10 exam
|
|
Similar Class 10 Doubts
Top Courses for Class 10View all
Nidhi and Ria are very close friends. Nidhi’s parents own a Maruti Alto. Ria’sparents 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.?
Question Description
Nidhi and Ria are very close friends. Nidhi’s parents own a Maruti Alto. Ria’sparents 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.? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Nidhi and Ria are very close friends. Nidhi’s parents own a Maruti Alto. Ria’sparents 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.? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Nidhi and Ria are very close friends. Nidhi’s parents own a Maruti Alto. Ria’sparents 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.?.
Nidhi and Ria are very close friends. Nidhi’s parents own a Maruti Alto. Ria’sparents 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.? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Nidhi and Ria are very close friends. Nidhi’s parents own a Maruti Alto. Ria’sparents 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.? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Nidhi and Ria are very close friends. Nidhi’s parents own a Maruti Alto. Ria’sparents 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.?.
Solutions for Nidhi and Ria are very close friends. Nidhi’s parents own a Maruti Alto. Ria’sparents 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.? in English & in Hindi are available as part of our courses for Class 10.
Download more important topics, notes, lectures and mock test series for Class 10 Exam by signing up for free.
Here you can find the meaning of Nidhi and Ria are very close friends. Nidhi’s parents own a Maruti Alto. Ria’sparents 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.? defined & explained in the simplest way possible. Besides giving the explanation of
Nidhi and Ria are very close friends. Nidhi’s parents own a Maruti Alto. Ria’sparents 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.?, a detailed solution for Nidhi and Ria are very close friends. Nidhi’s parents own a Maruti Alto. Ria’sparents 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.? has been provided alongside types of Nidhi and Ria are very close friends. Nidhi’s parents own a Maruti Alto. Ria’sparents 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.? theory, EduRev gives you an
ample number of questions to practice Nidhi and Ria are very close friends. Nidhi’s parents own a Maruti Alto. Ria’sparents 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.? tests, examples and also practice Class 10 tests.
|
|
Explore Courses for Class 10 exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup