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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