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A man has to travel a distance of 180 km in his car. The car develops some problem enroute due to which it covers the remaining distance at a speed of 4/5th of its initial speed. Hence it takes 1 hour more than expected to reach the destination. If the car travels for 2 hours without any glitch, what is the speed of the car (in km/hr) when it is travelling with a technical fault?
- a)24
- b)30
- c)40
- d)45
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
A man has to travel a distance of 180 km in his car. The car develops...
Let the car travel at a normal speed of V km/hr initially and let d km be the distance that the car travels without any problem.
Hence, the car travels the remaining (180 - d) km at (4V/5) km/hr Since the car travels 2 hours without any glitch, dIV = 2. So d = 2V ... (I)
The car takes 1 hour more because it travels (180 - d) km at (4V/5) km/hr instead of V km/hr.
Using (I) in the above equation, V = 30 km/hr Reduced speed = (4/5) x V = 24 km/hr .
Hence, the correct option is (a).
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Community Answer
A man has to travel a distance of 180 km in his car. The car develops...
Let's assume the initial speed of the car as 'x' km/hr.
- Distance covered in the first 2 hours:
The car travels for 2 hours without any problem, so it covers a distance of 2x km.
- Distance covered after the technical fault:
The remaining distance to be covered is 180 - 2x km.
As per the given condition, the car covers this distance at a speed of 4/5th of its initial speed.
So, the speed of the car after the technical fault is (4/5) * x = (4x/5) km/hr.
- Time taken to cover the remaining distance:
The time taken to cover a distance is given by the formula: time = distance / speed.
So, the time taken to cover the remaining distance is (180 - 2x) / (4x/5) = (900 - 10x) / 4x.
- Comparison:
According to the given information, it takes 1 hour more than expected to reach the destination.
So, the actual time taken to cover the remaining distance is 1 hour more than the expected time, which is (900 - 10x) / 4x + 1.
- Equating the time:
The actual time taken (1 hour more than expected) is equal to the time taken without any problem (2 hours).
So, we have the equation: (900 - 10x) / 4x + 1 = 2.
- Solving the equation:
Let's simplify the equation to solve for 'x':
(900 - 10x) / 4x + 1 = 2
(900 - 10x) / 4x = 2 - 1
(900 - 10x) / 4x = 1
900 - 10x = 4x
900 = 14x
x = 900 / 14
x ≈ 64.29 km/hr.
Therefore, the speed of the car when it is traveling with a technical fault is approximately 64.29 km/hr.
Rounding it off, we get the answer as 64 km/hr.
However, none of the given options match with our answer. There might be a mistake in the question or the options provided.
- Distance covered in the first 2 hours:
The car travels for 2 hours without any problem, so it covers a distance of 2x km.
- Distance covered after the technical fault:
The remaining distance to be covered is 180 - 2x km.
As per the given condition, the car covers this distance at a speed of 4/5th of its initial speed.
So, the speed of the car after the technical fault is (4/5) * x = (4x/5) km/hr.
- Time taken to cover the remaining distance:
The time taken to cover a distance is given by the formula: time = distance / speed.
So, the time taken to cover the remaining distance is (180 - 2x) / (4x/5) = (900 - 10x) / 4x.
- Comparison:
According to the given information, it takes 1 hour more than expected to reach the destination.
So, the actual time taken to cover the remaining distance is 1 hour more than the expected time, which is (900 - 10x) / 4x + 1.
- Equating the time:
The actual time taken (1 hour more than expected) is equal to the time taken without any problem (2 hours).
So, we have the equation: (900 - 10x) / 4x + 1 = 2.
- Solving the equation:
Let's simplify the equation to solve for 'x':
(900 - 10x) / 4x + 1 = 2
(900 - 10x) / 4x = 2 - 1
(900 - 10x) / 4x = 1
900 - 10x = 4x
900 = 14x
x = 900 / 14
x ≈ 64.29 km/hr.
Therefore, the speed of the car when it is traveling with a technical fault is approximately 64.29 km/hr.
Rounding it off, we get the answer as 64 km/hr.
However, none of the given options match with our answer. There might be a mistake in the question or the options provided.
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A man has to travel a distance of 180 km in his car. The car develops some problem enroute due to which it covers the remaining distance at a speed of 4/5th of its initial speed. Hence it takes 1 hour more than expected to reach the destination. If the car travels for 2 hours without any glitch, what is the speed of the car (in km/hr) when it is travelling with a technical fault?a)24b)30c)40d)45Correct answer is option 'A'. Can you explain this answer?
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A man has to travel a distance of 180 km in his car. The car develops some problem enroute due to which it covers the remaining distance at a speed of 4/5th of its initial speed. Hence it takes 1 hour more than expected to reach the destination. If the car travels for 2 hours without any glitch, what is the speed of the car (in km/hr) when it is travelling with a technical fault?a)24b)30c)40d)45Correct answer is option 'A'. 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 man has to travel a distance of 180 km in his car. The car develops some problem enroute due to which it covers the remaining distance at a speed of 4/5th of its initial speed. Hence it takes 1 hour more than expected to reach the destination. If the car travels for 2 hours without any glitch, what is the speed of the car (in km/hr) when it is travelling with a technical fault?a)24b)30c)40d)45Correct answer is option 'A'. 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 man has to travel a distance of 180 km in his car. The car develops some problem enroute due to which it covers the remaining distance at a speed of 4/5th of its initial speed. Hence it takes 1 hour more than expected to reach the destination. If the car travels for 2 hours without any glitch, what is the speed of the car (in km/hr) when it is travelling with a technical fault?a)24b)30c)40d)45Correct answer is option 'A'. Can you explain this answer?.
A man has to travel a distance of 180 km in his car. The car develops some problem enroute due to which it covers the remaining distance at a speed of 4/5th of its initial speed. Hence it takes 1 hour more than expected to reach the destination. If the car travels for 2 hours without any glitch, what is the speed of the car (in km/hr) when it is travelling with a technical fault?a)24b)30c)40d)45Correct answer is option 'A'. 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 man has to travel a distance of 180 km in his car. The car develops some problem enroute due to which it covers the remaining distance at a speed of 4/5th of its initial speed. Hence it takes 1 hour more than expected to reach the destination. If the car travels for 2 hours without any glitch, what is the speed of the car (in km/hr) when it is travelling with a technical fault?a)24b)30c)40d)45Correct answer is option 'A'. 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 man has to travel a distance of 180 km in his car. The car develops some problem enroute due to which it covers the remaining distance at a speed of 4/5th of its initial speed. Hence it takes 1 hour more than expected to reach the destination. If the car travels for 2 hours without any glitch, what is the speed of the car (in km/hr) when it is travelling with a technical fault?a)24b)30c)40d)45Correct answer is option 'A'. Can you explain this answer?.
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