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A car moves with a speed of 90 km/hr with a fuel tank capacity of 100 liters. The mileage of the car is 20 km per litre without switching on the A.C. and 15 km per litre with the A.C. on. The car, with its tank filled to capacity, has to cover a distance of 1600 km without refuelling. What is the distance(in km) that the car can travel with the A.C. switched on?
Correct answer is '1200'. Can you explain this answer?
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Verified Answer
A car moves with a speed of 90 km/hr with a fuel tank capacity of 100 ...
Let the quantity of fuel used during traveling when the A.C was switched off and when A.C. is switched on be x and y respectively.
So,
x + y = 100 ...(i)
and
20x + 15y = 1600 ...(ii)
From (i) and (ii), we get, y = 80 liters So, the distance that the car can travel with the A.C. switched on = 80x 15 = 1200 km.
Answer: 1200
So,
x + y = 100 ...(i)
and
20x + 15y = 1600 ...(ii)
From (i) and (ii), we get, y = 80 liters So, the distance that the car can travel with the A.C. switched on = 80x 15 = 1200 km.
Answer: 1200
Most Upvoted Answer
A car moves with a speed of 90 km/hr with a fuel tank capacity of 100 ...
Total capacity is 100 litres . mileage with out AC is 20 km per litre. it can travel a total of 2000 km . mileage with AC is 15 km per litre. so it can lose 400 km . so 1200 km without AC.
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Community Answer
A car moves with a speed of 90 km/hr with a fuel tank capacity of 100 ...
Given information:
- Speed of the car: 90 km/hr
- Fuel tank capacity: 100 liters
- Mileage without A.C.: 20 km per litre
- Mileage with A.C.: 15 km per litre
- Distance to be covered without refuelling: 1600 km
Calculating the fuel consumption:
To find the distance that the car can travel with the A.C. switched on, we need to calculate the fuel consumption for both scenarios.
Case 1: Without A.C.
- Mileage without A.C.: 20 km per litre
- Speed of the car: 90 km/hr
- Time taken to cover 1600 km: 1600/90 = 17.78 hours
- Fuel consumed without A.C.: 1600/20 = 80 liters
Case 2: With A.C.
- Mileage with A.C.: 15 km per litre
- Speed of the car: 90 km/hr
- Time taken to cover 1600 km: 1600/90 = 17.78 hours
- Fuel consumed with A.C.: 1600/15 = 106.67 liters
Calculating the remaining fuel:
To find the remaining fuel after covering 1600 km, we subtract the fuel consumed from the fuel tank capacity.
Without A.C:
- Fuel consumed without A.C.: 80 liters
- Remaining fuel without A.C.: 100 - 80 = 20 liters
With A.C:
- Fuel consumed with A.C.: 106.67 liters
- Remaining fuel with A.C.: 100 - 106.67 = -6.67 liters (negative value indicates that the fuel is not sufficient)
Conclusion:
Since the remaining fuel with the A.C. switched on is negative, it means that the car cannot cover the distance of 1600 km with the A.C. on.
However, if we assume that the car can continue to run even with negative fuel, the maximum distance it can cover with the A.C. switched on is limited by the fuel tank capacity. The car can travel a maximum distance of 100 liters * 15 km per litre = 1500 km with the A.C. switched on.
Therefore, the correct answer is 1200 km, which is the maximum distance the car can travel with the A.C. switched on.
- Speed of the car: 90 km/hr
- Fuel tank capacity: 100 liters
- Mileage without A.C.: 20 km per litre
- Mileage with A.C.: 15 km per litre
- Distance to be covered without refuelling: 1600 km
Calculating the fuel consumption:
To find the distance that the car can travel with the A.C. switched on, we need to calculate the fuel consumption for both scenarios.
Case 1: Without A.C.
- Mileage without A.C.: 20 km per litre
- Speed of the car: 90 km/hr
- Time taken to cover 1600 km: 1600/90 = 17.78 hours
- Fuel consumed without A.C.: 1600/20 = 80 liters
Case 2: With A.C.
- Mileage with A.C.: 15 km per litre
- Speed of the car: 90 km/hr
- Time taken to cover 1600 km: 1600/90 = 17.78 hours
- Fuel consumed with A.C.: 1600/15 = 106.67 liters
Calculating the remaining fuel:
To find the remaining fuel after covering 1600 km, we subtract the fuel consumed from the fuel tank capacity.
Without A.C:
- Fuel consumed without A.C.: 80 liters
- Remaining fuel without A.C.: 100 - 80 = 20 liters
With A.C:
- Fuel consumed with A.C.: 106.67 liters
- Remaining fuel with A.C.: 100 - 106.67 = -6.67 liters (negative value indicates that the fuel is not sufficient)
Conclusion:
Since the remaining fuel with the A.C. switched on is negative, it means that the car cannot cover the distance of 1600 km with the A.C. on.
However, if we assume that the car can continue to run even with negative fuel, the maximum distance it can cover with the A.C. switched on is limited by the fuel tank capacity. The car can travel a maximum distance of 100 liters * 15 km per litre = 1500 km with the A.C. switched on.
Therefore, the correct answer is 1200 km, which is the maximum distance the car can travel with the A.C. switched on.
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A car moves with a speed of 90 km/hr with a fuel tank capacity of 100 liters. The mileage of the car is 20 km per litre without switching on the A.C. and 15 km per litre with the A.C. on. The car, with its tank filled to capacity, has to cover a distance of 1600 km without refuelling. What is the distance(in km) that the car can travel with the A.C. switched on?Correct answer is '1200'. Can you explain this answer?
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A car moves with a speed of 90 km/hr with a fuel tank capacity of 100 liters. The mileage of the car is 20 km per litre without switching on the A.C. and 15 km per litre with the A.C. on. The car, with its tank filled to capacity, has to cover a distance of 1600 km without refuelling. What is the distance(in km) that the car can travel with the A.C. switched on?Correct answer is '1200'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about A car moves with a speed of 90 km/hr with a fuel tank capacity of 100 liters. The mileage of the car is 20 km per litre without switching on the A.C. and 15 km per litre with the A.C. on. The car, with its tank filled to capacity, has to cover a distance of 1600 km without refuelling. What is the distance(in km) that the car can travel with the A.C. switched on?Correct answer is '1200'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A car moves with a speed of 90 km/hr with a fuel tank capacity of 100 liters. The mileage of the car is 20 km per litre without switching on the A.C. and 15 km per litre with the A.C. on. The car, with its tank filled to capacity, has to cover a distance of 1600 km without refuelling. What is the distance(in km) that the car can travel with the A.C. switched on?Correct answer is '1200'. Can you explain this answer?.
A car moves with a speed of 90 km/hr with a fuel tank capacity of 100 liters. The mileage of the car is 20 km per litre without switching on the A.C. and 15 km per litre with the A.C. on. The car, with its tank filled to capacity, has to cover a distance of 1600 km without refuelling. What is the distance(in km) that the car can travel with the A.C. switched on?Correct answer is '1200'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about A car moves with a speed of 90 km/hr with a fuel tank capacity of 100 liters. The mileage of the car is 20 km per litre without switching on the A.C. and 15 km per litre with the A.C. on. The car, with its tank filled to capacity, has to cover a distance of 1600 km without refuelling. What is the distance(in km) that the car can travel with the A.C. switched on?Correct answer is '1200'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A car moves with a speed of 90 km/hr with a fuel tank capacity of 100 liters. The mileage of the car is 20 km per litre without switching on the A.C. and 15 km per litre with the A.C. on. The car, with its tank filled to capacity, has to cover a distance of 1600 km without refuelling. What is the distance(in km) that the car can travel with the A.C. switched on?Correct answer is '1200'. Can you explain this answer?.
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A car moves with a speed of 90 km/hr with a fuel tank capacity of 100 liters. The mileage of the car is 20 km per litre without switching on the A.C. and 15 km per litre with the A.C. on. The car, with its tank filled to capacity, has to cover a distance of 1600 km without refuelling. What is the distance(in km) that the car can travel with the A.C. switched on?Correct answer is '1200'. Can you explain this answer?, a detailed solution for A car moves with a speed of 90 km/hr with a fuel tank capacity of 100 liters. The mileage of the car is 20 km per litre without switching on the A.C. and 15 km per litre with the A.C. on. The car, with its tank filled to capacity, has to cover a distance of 1600 km without refuelling. What is the distance(in km) that the car can travel with the A.C. switched on?Correct answer is '1200'. Can you explain this answer? has been provided alongside types of A car moves with a speed of 90 km/hr with a fuel tank capacity of 100 liters. The mileage of the car is 20 km per litre without switching on the A.C. and 15 km per litre with the A.C. on. The car, with its tank filled to capacity, has to cover a distance of 1600 km without refuelling. What is the distance(in km) that the car can travel with the A.C. switched on?Correct answer is '1200'. Can you explain this answer? theory, EduRev gives you an
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