A man leaves his home and walks at a speed of 12 km per hour, reaching the railway station 10 minutes after the train had departed. If instead he had walked at a speed of 15 km per hour, he would have reached the station 10 minutes before the trains departure. The distance (in km) from his home to the railway station isCorrect answer is '20'. Can you explain this answer?

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A man leaves his home and walks at a speed of 12 km per hour, reaching the railway station 10 minutes after the train had departed. If instead he had walked at a speed of 15 km per hour, he would have reached the station 10 minutes before the train's departure. The distance (in km) from his home to the railway station is

Correct answer is '20'. Can you explain this answer?

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A man leaves his home and walks at a speed of 12 km per hour, reaching...

We can see that,
Speed in first case: s
Speed in second case: s’ = 5s/4
We know that, time is inversely proportional with speed
Therefore, the time would be 4/5 times the time, i.e., 1/5 less. This one fifth is 20 min. Therefore, the time taken in the first case is 100 min.
The distance = 12*(5/3) = 20 km
Answer: 20

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A man leaves his home and walks at a speed of 12 km per hour, reaching...

Given data:
- Speed at which the man walks and reaches the railway station = 12 km/hr
- Time taken by the man to reach the railway station after the train had departed = 10 minutes
- Speed at which the man would have reached the railway station if he had walked faster = 15 km/hr
- Time taken by the man to reach the railway station before the train's departure = 10 minutes

Approach:
Let's assume that the distance between the man's home and the railway station is 'd' km.

We can use the formula:
Time = Distance / Speed

Case 1: When the man walks at a speed of 12 km/hr
- Time taken = 10 minutes = 10/60 hours = 1/6 hours
- Distance = d km
- Speed = 12 km/hr

Therefore, we can write the equation as:
1/6 = d / 12

Case 2: When the man walks at a speed of 15 km/hr
- Time taken = 10 minutes = 10/60 hours = 1/6 hours
- Distance = d km
- Speed = 15 km/hr

Therefore, we can write the equation as:
1/6 = d / 15

Solving the equations:
We can solve the equations to find the value of 'd'.

From Case 1, we have:
1/6 = d / 12
Cross multiplying, we get:
12 = 6d
Dividing by 6, we get:
d = 2

From Case 2, we have:
1/6 = d / 15
Cross multiplying, we get:
15 = 6d
Dividing by 6, we get:
d = 2.5

Conclusion:
The distance between the man's home and the railway station is 2 km. Therefore, the correct answer is 2 km.

Answered by Wizius Careers · View profile

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A man leaves his home and walks at a speed of 12 km per hour, reaching the railway station 10 minutes after the train had departed. If instead he had walked at a speed of 15 km per hour, he would have reached the station 10 minutes before the trains departure. The distance (in km) from his home to the railway station is Correct answer is '20'. Can you explain this answer?

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A man leaves his home and walks at a speed of 12 km per hour, reaching the railway station 10 minutes after the train had departed. If instead he had walked at a speed of 15 km per hour, he would have reached the station 10 minutes before the train's departure. The distance (in km) from his home to the railway station isCorrect answer is '20'. 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 leaves his home and walks at a speed of 12 km per hour, reaching the railway station 10 minutes after the train had departed. If instead he had walked at a speed of 15 km per hour, he would have reached the station 10 minutes before the train's departure. The distance (in km) from his home to the railway station isCorrect answer is '20'. 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 leaves his home and walks at a speed of 12 km per hour, reaching the railway station 10 minutes after the train had departed. If instead he had walked at a speed of 15 km per hour, he would have reached the station 10 minutes before the train's departure. The distance (in km) from his home to the railway station isCorrect answer is '20'. Can you explain this answer?.

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