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Amar Travels A certain distance to the to his office by a car everyday and spend rupees 60 per day on a petrol as the petrol prices increases he calculates for increase of rupees 1.5 /kilometre he will be able to cover 2 kilometre live by the car for the same amount of spent on petrol everyday he decided to park is vehicle in nearby parking lot and work the remaining 2 kilometre to office since wapking is a good health you what is actually distance from his home to office?
Verified Answer
Amar Travels A certain distance to the to his office by a car everyday...
Let for covering 1 km of distance, Amar used to spend Rs x.

 Total expenses on petrol = Rs 60.

Therefore, total distance covered by Amar



This question is part of UPSC exam. View all Class 10 courses
Most Upvoted Answer
Amar Travels A certain distance to the to his office by a car everyday...
Distance Calculation:

Let's assume the initial distance from Amar's home to his office is 'x' kilometers.

Cost Calculation:

Currently, Amar spends rupees 60 per day on petrol for the distance from his home to the office. As the petrol prices increase, he calculates that for every increase of rupees 1.5 per kilometer, he will be able to cover 2 kilometers less by car for the same amount of money spent on petrol every day.

Alternative Solution:

To save money and promote good health, Amar decides to park his vehicle in a nearby parking lot and walk the remaining 2 kilometers to his office.

Explanation:

To find the actual distance from Amar's home to his office, we can use the information provided.

Let's assume the increase in petrol prices is 'p' rupees per kilometer.

So, the decrease in distance covered by car due to the increase in petrol prices will be 2 kilometers for every increase of rupees 1.5 per kilometer.

Therefore, the decrease in distance can be calculated as:
2 kilometers / (1.5 rupees/kilometer) = 4/3 rupees

Now, let's calculate the new cost of petrol for Amar if he covers the remaining distance by walking.

The new cost of petrol will be:
60 rupees - (4/3 rupees) = 176/3 rupees (approximately)

As Amar decides to spend the same amount on petrol but cover only the remaining 2 kilometers by car, we can set up the following equation:

(60 rupees - (4/3 rupees)) / (x kilometers - 2 kilometers) = 60 rupees / x kilometers

Simplifying the equation, we get:
(176/3 rupees) / (x - 2) = 60 rupees / x

Cross-multiplying and simplifying further, we get:
176x = 180x - 360

Bringing like terms to one side, we have:
180x - 176x = 360

Simplifying the equation, we get:
4x = 360

Dividing both sides by 4, we get:
x = 90

Therefore, the actual distance from Amar's home to his office is 90 kilometers.
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Amar Travels A certain distance to the to his office by a car everyday and spend rupees 60 per day on a petrol as the petrol prices increases he calculates for increase of rupees 1.5 /kilometre he will be able to cover 2 kilometre live by the car for the same amount of spent on petrol everyday he decided to park is vehicle in nearby parking lot and work the remaining 2 kilometre to office since wapking is a good health you what is actually distance from his home to office?
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Amar Travels A certain distance to the to his office by a car everyday and spend rupees 60 per day on a petrol as the petrol prices increases he calculates for increase of rupees 1.5 /kilometre he will be able to cover 2 kilometre live by the car for the same amount of spent on petrol everyday he decided to park is vehicle in nearby parking lot and work the remaining 2 kilometre to office since wapking is a good health you what is actually distance from his home to office? 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 Amar Travels A certain distance to the to his office by a car everyday and spend rupees 60 per day on a petrol as the petrol prices increases he calculates for increase of rupees 1.5 /kilometre he will be able to cover 2 kilometre live by the car for the same amount of spent on petrol everyday he decided to park is vehicle in nearby parking lot and work the remaining 2 kilometre to office since wapking is a good health you what is actually distance from his home to office? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Amar Travels A certain distance to the to his office by a car everyday and spend rupees 60 per day on a petrol as the petrol prices increases he calculates for increase of rupees 1.5 /kilometre he will be able to cover 2 kilometre live by the car for the same amount of spent on petrol everyday he decided to park is vehicle in nearby parking lot and work the remaining 2 kilometre to office since wapking is a good health you what is actually distance from his home to office?.
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