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Nidhi and Ria are very close friends. Nidhi’s parents own a Maruti Alto. Ria’s parents
own a Toyota Leva. Both the families decide to go for a picnic to Somnath temple in
Gujrat by their own cars. Nidhi’s car travels x km/hr while Ria’s car travels 5 km/hr more than Nidhi’s car. Nidhi’s car took 4 hours more than Ria’s car in covering 400km.
i) What will be the distance covered by Ria’s car in two hours?
own a Toyota Leva. Both the families decide to go for a picnic to Somnath temple in
Gujrat by their own cars. Nidhi’s car travels x km/hr while Ria’s car travels 5 km/hr more than Nidhi’s car. Nidhi’s car took 4 hours more than Ria’s car in covering 400km.
i) What will be the distance covered by Ria’s car in two hours?
Most Upvoted Answer
Nidhi and Ria are very close friends. Nidhi’s parents own a Maruti Alt...
**Distance Covered by Ria's Car in Two Hours**
To find out the distance covered by Ria's car in two hours, we need to first determine the speed at which Ria's car is traveling.
Let's assume that Nidhi's car travels at a speed of x km/hr. As given in the question, Ria's car travels 5 km/hr more than Nidhi's car. Therefore, Ria's car travels at a speed of (x + 5) km/hr.
Now, we know that Nidhi's car took 4 hours more than Ria's car in covering a distance of 400 km.
Let's calculate the time taken by Nidhi's car to cover the distance of 400 km:
Time = Distance / Speed
Time taken by Nidhi's car = 400 / x
Similarly, let's calculate the time taken by Ria's car to cover the same distance:
Time taken by Ria's car = 400 / (x + 5)
According to the given information, Nidhi's car took 4 hours more than Ria's car. Therefore, we can write the equation as:
400 / x = 400 / (x + 5) + 4
Now, let's solve this equation to find the value of x:
400(x + 5) = 400x + 4(x)(x + 5)
400x + 2000 = 400x + 4x^2 + 20x
4x^2 + 20x - 2000 = 0
x^2 + 5x - 500 = 0
Using quadratic equation formula, we can find the value of x:
x = (-b ± √(b^2 - 4ac)) / 2a
In this case, a = 1, b = 5, and c = -500.
x = (-5 ± √(5^2 - 4(1)(-500))) / 2(1)
x = (-5 ± √(25 + 2000)) / 2
x = (-5 ± √2025) / 2
x = (-5 ± 45) / 2
Since speed cannot be negative, we take the positive value:
x = (45 - 5) / 2
x = 20
So, Nidhi's car travels at a speed of 20 km/hr and Ria's car travels at a speed of (20 + 5) = 25 km/hr.
Now, to find the distance covered by Ria's car in two hours, we can use the formula:
Distance = Speed * Time
Distance covered by Ria's car in two hours = 25 * 2
Distance covered by Ria's car in two hours = 50 km
Therefore, the distance covered by Ria's car in two hours is 50 km.
To find out the distance covered by Ria's car in two hours, we need to first determine the speed at which Ria's car is traveling.
Let's assume that Nidhi's car travels at a speed of x km/hr. As given in the question, Ria's car travels 5 km/hr more than Nidhi's car. Therefore, Ria's car travels at a speed of (x + 5) km/hr.
Now, we know that Nidhi's car took 4 hours more than Ria's car in covering a distance of 400 km.
Let's calculate the time taken by Nidhi's car to cover the distance of 400 km:
Time = Distance / Speed
Time taken by Nidhi's car = 400 / x
Similarly, let's calculate the time taken by Ria's car to cover the same distance:
Time taken by Ria's car = 400 / (x + 5)
According to the given information, Nidhi's car took 4 hours more than Ria's car. Therefore, we can write the equation as:
400 / x = 400 / (x + 5) + 4
Now, let's solve this equation to find the value of x:
400(x + 5) = 400x + 4(x)(x + 5)
400x + 2000 = 400x + 4x^2 + 20x
4x^2 + 20x - 2000 = 0
x^2 + 5x - 500 = 0
Using quadratic equation formula, we can find the value of x:
x = (-b ± √(b^2 - 4ac)) / 2a
In this case, a = 1, b = 5, and c = -500.
x = (-5 ± √(5^2 - 4(1)(-500))) / 2(1)
x = (-5 ± √(25 + 2000)) / 2
x = (-5 ± √2025) / 2
x = (-5 ± 45) / 2
Since speed cannot be negative, we take the positive value:
x = (45 - 5) / 2
x = 20
So, Nidhi's car travels at a speed of 20 km/hr and Ria's car travels at a speed of (20 + 5) = 25 km/hr.
Now, to find the distance covered by Ria's car in two hours, we can use the formula:
Distance = Speed * Time
Distance covered by Ria's car in two hours = 25 * 2
Distance covered by Ria's car in two hours = 50 km
Therefore, the distance covered by Ria's car in two hours is 50 km.
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Nidhi and Ria are very close friends. Nidhi’s parents own a Maruti Alto. Ria’s parents own a Toyota Leva. Both the families decide to go for a picnic to Somnath temple in Gujrat by their own cars. Nidhi’s car travels x km/hr while Ria’s car travels 5 km/hr more than Nidhi’s car. Nidhi’s car took 4 hours more than Ria’s car in covering 400km. i) What will be the distance covered by Ria’s car in two hours?
Question Description
Nidhi and Ria are very close friends. Nidhi’s parents own a Maruti Alto. Ria’s parents own a Toyota Leva. Both the families decide to go for a picnic to Somnath temple in Gujrat by their own cars. Nidhi’s car travels x km/hr while Ria’s car travels 5 km/hr more than Nidhi’s car. Nidhi’s car took 4 hours more than Ria’s car in covering 400km. i) What will be the distance covered by Ria’s car in two hours? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Nidhi and Ria are very close friends. Nidhi’s parents own a Maruti Alto. Ria’s parents own a Toyota Leva. Both the families decide to go for a picnic to Somnath temple in Gujrat by their own cars. Nidhi’s car travels x km/hr while Ria’s car travels 5 km/hr more than Nidhi’s car. Nidhi’s car took 4 hours more than Ria’s car in covering 400km. i) What will be the distance covered by Ria’s car in two hours? covers all topics & solutions for UPSC 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’s parents own a Toyota Leva. Both the families decide to go for a picnic to Somnath temple in Gujrat by their own cars. Nidhi’s car travels x km/hr while Ria’s car travels 5 km/hr more than Nidhi’s car. Nidhi’s car took 4 hours more than Ria’s car in covering 400km. i) What will be the distance covered by Ria’s car in two hours?.
Nidhi and Ria are very close friends. Nidhi’s parents own a Maruti Alto. Ria’s parents own a Toyota Leva. Both the families decide to go for a picnic to Somnath temple in Gujrat by their own cars. Nidhi’s car travels x km/hr while Ria’s car travels 5 km/hr more than Nidhi’s car. Nidhi’s car took 4 hours more than Ria’s car in covering 400km. i) What will be the distance covered by Ria’s car in two hours? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Nidhi and Ria are very close friends. Nidhi’s parents own a Maruti Alto. Ria’s parents own a Toyota Leva. Both the families decide to go for a picnic to Somnath temple in Gujrat by their own cars. Nidhi’s car travels x km/hr while Ria’s car travels 5 km/hr more than Nidhi’s car. Nidhi’s car took 4 hours more than Ria’s car in covering 400km. i) What will be the distance covered by Ria’s car in two hours? covers all topics & solutions for UPSC 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’s parents own a Toyota Leva. Both the families decide to go for a picnic to Somnath temple in Gujrat by their own cars. Nidhi’s car travels x km/hr while Ria’s car travels 5 km/hr more than Nidhi’s car. Nidhi’s car took 4 hours more than Ria’s car in covering 400km. i) What will be the distance covered by Ria’s car in two hours?.
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