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A man's driver picks him up from his office at 6:00 pm daily. The car runs six times the speed at which the man walks. One day the car developed a snag on the way and the driver has to stop to get it fixed.The man waited for 15 min and started to walk towards his house. He finds his repair car coming towards him after sometime and get in it, and reached his home 30 min late compairing to his usual time.Calculate the time did the man get in his repair car.?
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A man's driver picks him up from his office at 6:00 pm daily. The car ...
Problem Overview
The scenario involves a man whose driver picks him up daily at 6:00 PM. Due to a car snag, he waits for 15 minutes before walking towards home. The challenge is to determine when he got back into the repair car, given that he reached home 30 minutes late.
Key Information
- Normal Pick-up Time: 6:00 PM
- Man's Walking Speed: x
- Car's Speed: 6x (six times the man's walking speed)
- Waiting Time: 15 minutes
- Total Delay: 30 minutes
Analysis of the Situation
1. Total Time for Journey:
- Normally, the man is picked up at 6:00 PM and reaches home on time.
- He is 30 minutes late this day.
2. Walking Time:
- After waiting for 15 minutes, he starts walking.
- Let "t" be the time in minutes he walks before getting into the car.
3. Car's Travel Time:
- The time taken by the car to reach the man after he starts walking is the same time he spends walking (t minutes).
4. Total Time Calculation:
- The total travel time of the car from the snag to picking him up is the sum of his walking time and the time lost waiting.
- The normal time minus the delay gives us the equation to solve for "t."
Conclusion
From the above analysis, the total delay of 30 minutes consists of the 15 minutes he waited and the additional time spent walking. Therefore, the time he got into the car can be calculated as:
- Total delay = Waiting time + Walking time
- 30 = 15 + t
Thus, t = 15 minutes.
The man got into the repair car at 6:30 PM.
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A man's driver picks him up from his office at 6:00 pm daily. The car runs six times the speed at which the man walks. One day the car developed a snag on the way and the driver has to stop to get it fixed.The man waited for 15 min and started to walk towards his house. He finds his repair car coming towards him after sometime and get in it, and reached his home 30 min late compairing to his usual time.Calculate the time did the man get in his repair car.?
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A man's driver picks him up from his office at 6:00 pm daily. The car runs six times the speed at which the man walks. One day the car developed a snag on the way and the driver has to stop to get it fixed.The man waited for 15 min and started to walk towards his house. He finds his repair car coming towards him after sometime and get in it, and reached his home 30 min late compairing to his usual time.Calculate the time did the man get in his repair car.? 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 picks him up from his office at 6:00 pm daily. The car runs six times the speed at which the man walks. One day the car developed a snag on the way and the driver has to stop to get it fixed.The man waited for 15 min and started to walk towards his house. He finds his repair car coming towards him after sometime and get in it, and reached his home 30 min late compairing to his usual time.Calculate the time did the man get in his repair car.? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A man's driver picks him up from his office at 6:00 pm daily. The car runs six times the speed at which the man walks. One day the car developed a snag on the way and the driver has to stop to get it fixed.The man waited for 15 min and started to walk towards his house. He finds his repair car coming towards him after sometime and get in it, and reached his home 30 min late compairing to his usual time.Calculate the time did the man get in his repair car.?.
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