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A man's driver pick hem up from his office at 6 pm daily The car kuns at six times the day speed can developed day the and The So man Car the driver had to waited for 15 min cman walks one a snag on the way stop to get it fixed. and then stented Walking towards his house. He finds his repair car comme'ng towards him after some time, gets in it, and reaches home exactly 30 minuly late as compared to his usual time.Calculate his walking time and repairing time?
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A man's driver pick hem up from his office at 6 pm daily The car kuns ...
Scenario Overview
The man is usually picked up by his driver at 6 PM. The car travels at six times the speed of the man walking. Due to a car issue, the driver waits for 15 minutes and the man then walks while the car is being repaired.
Time Analysis
- The man is 30 minutes late reaching home.
- This delay includes both the time spent walking and the time the car takes to return after repair.
Car and Walking Speeds
- Let the man's walking speed be 'x' km/h.
- Therefore, the car’s speed is '6x' km/h.
Repair and Walking Time Calculation
- The driver waits for 15 minutes (0.25 hours) before the man starts walking.
- Assume the man walks for 'w' hours before meeting the car, and the repair takes 'r' hours.
Equation Formation
- The total time taken (30 minutes late) can be represented as:
- 0.25 + w + r + (Time taken by the car to reach home after picking him up) = 0.5 hours.
Walking and Repair Time Relationship
- When the man walks for 'w' hours, he covers a distance of 'x * w'.
- The car travels back the same distance at a speed of '6x', taking 'w/6' hours to reach the man.
Final Equations
- Thus, we have the equation:
- 0.25 + w + r + w/6 = 0.5
- Simplifying gives:
- w + r + w/6 = 0.25.
Solution Derivation
- Combine terms:
- (7w)/6 + r = 0.25.
- This indicates the relationship between w and r.
Conclusion
To find the exact times for walking and repair, we can set reasonable assumptions or solve the equations derived. The scenario portrays a balance between repair time and walking time, ultimately leading to a total delay resulting in the 30-minute lateness experienced by the man.
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A man's driver pick hem up from his office at 6 pm daily The car kuns at six times the day speed can developed day the and The So man Car the driver had to waited for 15 min cman walks one a snag on the way stop to get it fixed. and then stented Walking towards his house. He finds his repair car comme'ng towards him after some time, gets in it, and reaches home exactly 30 minuly late as compared to his usual time.Calculate his walking time and repairing time?
Question Description
A man's driver pick hem up from his office at 6 pm daily The car kuns at six times the day speed can developed day the and The So man Car the driver had to waited for 15 min cman walks one a snag on the way stop to get it fixed. and then stented Walking towards his house. He finds his repair car comme'ng towards him after some time, gets in it, and reaches home exactly 30 minuly late as compared to his usual time.Calculate his walking time and repairing time? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A man's driver pick hem up from his office at 6 pm daily The car kuns at six times the day speed can developed day the and The So man Car the driver had to waited for 15 min cman walks one a snag on the way stop to get it fixed. and then stented Walking towards his house. He finds his repair car comme'ng towards him after some time, gets in it, and reaches home exactly 30 minuly late as compared to his usual time.Calculate his walking time and repairing time? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A man's driver pick hem up from his office at 6 pm daily The car kuns at six times the day speed can developed day the and The So man Car the driver had to waited for 15 min cman walks one a snag on the way stop to get it fixed. and then stented Walking towards his house. He finds his repair car comme'ng towards him after some time, gets in it, and reaches home exactly 30 minuly late as compared to his usual time.Calculate his walking time and repairing time?.
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