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Distance between ram and his office is 600Km. One day he started at normal speed and cover 2/3rd of the distance And as forgot to take the key of office he returned at the same moment with 3/2 of the original speed. And then again gone to office with double speed and noticed that he had reached 20 minutes earlier. What will be the original speed of ram?
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Distance between ram and his office is 600Km. One day he started at no...
Given:
Distance between Ram's house and office = 600 km
Ram covers 2/3rd of the distance at his normal speed.
While returning, Ram covers the same distance with 3/2 times his normal speed.
When he goes to the office again, he doubles his speed and reaches 20 minutes earlier.
To find:
The original speed of Ram.
Assumption:
Let's assume Ram's normal speed is x km/hr.
Explanation:
Distance covered in the first trip:
Ram covers 2/3rd of the distance at his normal speed.
Distance covered in the first trip = (2/3) * 600 = 400 km
Time taken in the first trip:
Time = Distance / Speed
Time taken in the first trip = 400 / x = 400x / x = 400 hours
Distance covered in the return trip:
Ram covers the same distance with 3/2 times his normal speed.
Distance covered in the return trip = 400 km
Time taken in the return trip:
Time = Distance / Speed
Time taken in the return trip = 400 / (3/2)x = 400 * (2/3x) = 800 / 3x hours
Distance covered in the second trip:
Ram covers the remaining 1/3rd of the distance with double the speed.
Distance covered in the second trip = (1/3) * 600 = 200 km
Time taken in the second trip:
Time = Distance / Speed
Time taken in the second trip = 200 / (2x) = 100 / x hours
Total time taken:
Total time taken = Time taken in the first trip + Time taken in the return trip + Time taken in the second trip
Total time taken = 400 hours + 800/3x hours + 100/x hours
Given that Ram reached 20 minutes earlier:
Total time taken - 20 minutes = Total time taken
400 hours + 800/3x hours + 100/x hours - 20/60 hours = 400 hours + 800/3x hours + 100/x hours
Simplifying the equation:
20/60 hours = 800/3x hours + 100/x hours
1/3 hours = 800/3x hours + 100/x hours
Multiplying through by 3x:
x = 800 + 300
Simplifying:
x = 1100
Therefore, the original speed of Ram is 1100 km/hr.
Distance between Ram's house and office = 600 km
Ram covers 2/3rd of the distance at his normal speed.
While returning, Ram covers the same distance with 3/2 times his normal speed.
When he goes to the office again, he doubles his speed and reaches 20 minutes earlier.
To find:
The original speed of Ram.
Assumption:
Let's assume Ram's normal speed is x km/hr.
Explanation:
Distance covered in the first trip:
Ram covers 2/3rd of the distance at his normal speed.
Distance covered in the first trip = (2/3) * 600 = 400 km
Time taken in the first trip:
Time = Distance / Speed
Time taken in the first trip = 400 / x = 400x / x = 400 hours
Distance covered in the return trip:
Ram covers the same distance with 3/2 times his normal speed.
Distance covered in the return trip = 400 km
Time taken in the return trip:
Time = Distance / Speed
Time taken in the return trip = 400 / (3/2)x = 400 * (2/3x) = 800 / 3x hours
Distance covered in the second trip:
Ram covers the remaining 1/3rd of the distance with double the speed.
Distance covered in the second trip = (1/3) * 600 = 200 km
Time taken in the second trip:
Time = Distance / Speed
Time taken in the second trip = 200 / (2x) = 100 / x hours
Total time taken:
Total time taken = Time taken in the first trip + Time taken in the return trip + Time taken in the second trip
Total time taken = 400 hours + 800/3x hours + 100/x hours
Given that Ram reached 20 minutes earlier:
Total time taken - 20 minutes = Total time taken
400 hours + 800/3x hours + 100/x hours - 20/60 hours = 400 hours + 800/3x hours + 100/x hours
Simplifying the equation:
20/60 hours = 800/3x hours + 100/x hours
1/3 hours = 800/3x hours + 100/x hours
Multiplying through by 3x:
x = 800 + 300
Simplifying:
x = 1100
Therefore, the original speed of Ram is 1100 km/hr.
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Distance between ram and his office is 600Km. One day he started at normal speed and cover 2/3rd of the distance And as forgot to take the key of office he returned at the same moment with 3/2 of the original speed. And then again gone to office with double speed and noticed that he had reached 20 minutes earlier. What will be the original speed of ram?
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Distance between ram and his office is 600Km. One day he started at normal speed and cover 2/3rd of the distance And as forgot to take the key of office he returned at the same moment with 3/2 of the original speed. And then again gone to office with double speed and noticed that he had reached 20 minutes earlier. What will be the original speed of ram? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Distance between ram and his office is 600Km. One day he started at normal speed and cover 2/3rd of the distance And as forgot to take the key of office he returned at the same moment with 3/2 of the original speed. And then again gone to office with double speed and noticed that he had reached 20 minutes earlier. What will be the original speed of ram? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Distance between ram and his office is 600Km. One day he started at normal speed and cover 2/3rd of the distance And as forgot to take the key of office he returned at the same moment with 3/2 of the original speed. And then again gone to office with double speed and noticed that he had reached 20 minutes earlier. What will be the original speed of ram?.
Distance between ram and his office is 600Km. One day he started at normal speed and cover 2/3rd of the distance And as forgot to take the key of office he returned at the same moment with 3/2 of the original speed. And then again gone to office with double speed and noticed that he had reached 20 minutes earlier. What will be the original speed of ram? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Distance between ram and his office is 600Km. One day he started at normal speed and cover 2/3rd of the distance And as forgot to take the key of office he returned at the same moment with 3/2 of the original speed. And then again gone to office with double speed and noticed that he had reached 20 minutes earlier. What will be the original speed of ram? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Distance between ram and his office is 600Km. One day he started at normal speed and cover 2/3rd of the distance And as forgot to take the key of office he returned at the same moment with 3/2 of the original speed. And then again gone to office with double speed and noticed that he had reached 20 minutes earlier. What will be the original speed of ram?.
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