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"A train starts at 5 minutes past the clock and the speed of the train is 5 km/min. A passenger starts at the last minute and runs 100 m. How much time will it take for the passenger to reach the entire train at the last minute?"?
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"A train starts at 5 minutes past the clock and the speed of the train...
Understanding the Problem:
The train starts moving at 5 minutes past the hour with a speed of 5 km/min. A passenger starts running towards the train at the last minute and covers a distance of 100 meters. We need to determine how much time it will take for the passenger to reach the entire train at the last minute.
Calculating the Distance between the Passenger and the Train:
- The train has been moving for 5 minutes at a speed of 5 km/min, so it has covered a distance of 5 x 5 = 25 km.
- Since the passenger started running at the last minute, the train has already moved 25 km + 100 meters in that time.
Converting the Distance Covered by the Train to Meters:
- 25 km = 25,000 meters
- Total distance covered by the train = 25,000 meters + 100 meters = 25,100 meters
Calculating the Time Needed for the Passenger to Reach the Train:
- The passenger needs to cover a distance of 25,100 meters to reach the train.
- The passenger ran 100 meters in the last minute, so the remaining distance to cover is 25,000 meters.
- The speed of the passenger is not given, so let's assume the passenger runs at a speed of x meters per minute.
- Time taken by the passenger to cover 25,000 meters = 25,000 / x minutes
Equating the Times for the Train and Passenger:
- The train took 5 minutes to cover 25 km (25,000 meters), so the time taken by the train = 5 minutes.
- Equating the times for the train and passenger, we get:
5 = 25,000 / x
x = 25,000 / 5
x = 5,000 meters per minute
Calculating the Time Needed for the Passenger to Reach the Train:
- Time taken by the passenger to cover 25,000 meters = 25,000 / 5,000 = 5 minutes
Therefore, it will take the passenger 5 minutes to reach the entire train at the last minute.
The train starts moving at 5 minutes past the hour with a speed of 5 km/min. A passenger starts running towards the train at the last minute and covers a distance of 100 meters. We need to determine how much time it will take for the passenger to reach the entire train at the last minute.
Calculating the Distance between the Passenger and the Train:
- The train has been moving for 5 minutes at a speed of 5 km/min, so it has covered a distance of 5 x 5 = 25 km.
- Since the passenger started running at the last minute, the train has already moved 25 km + 100 meters in that time.
Converting the Distance Covered by the Train to Meters:
- 25 km = 25,000 meters
- Total distance covered by the train = 25,000 meters + 100 meters = 25,100 meters
Calculating the Time Needed for the Passenger to Reach the Train:
- The passenger needs to cover a distance of 25,100 meters to reach the train.
- The passenger ran 100 meters in the last minute, so the remaining distance to cover is 25,000 meters.
- The speed of the passenger is not given, so let's assume the passenger runs at a speed of x meters per minute.
- Time taken by the passenger to cover 25,000 meters = 25,000 / x minutes
Equating the Times for the Train and Passenger:
- The train took 5 minutes to cover 25 km (25,000 meters), so the time taken by the train = 5 minutes.
- Equating the times for the train and passenger, we get:
5 = 25,000 / x
x = 25,000 / 5
x = 5,000 meters per minute
Calculating the Time Needed for the Passenger to Reach the Train:
- Time taken by the passenger to cover 25,000 meters = 25,000 / 5,000 = 5 minutes
Therefore, it will take the passenger 5 minutes to reach the entire train at the last minute.
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"A train starts at 5 minutes past the clock and the speed of the train is 5 km/min. A passenger starts at the last minute and runs 100 m. How much time will it take for the passenger to reach the entire train at the last minute?"?
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"A train starts at 5 minutes past the clock and the speed of the train is 5 km/min. A passenger starts at the last minute and runs 100 m. How much time will it take for the passenger to reach the entire train at the last minute?"? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about "A train starts at 5 minutes past the clock and the speed of the train is 5 km/min. A passenger starts at the last minute and runs 100 m. How much time will it take for the passenger to reach the entire train at the last minute?"? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for "A train starts at 5 minutes past the clock and the speed of the train is 5 km/min. A passenger starts at the last minute and runs 100 m. How much time will it take for the passenger to reach the entire train at the last minute?"?.
"A train starts at 5 minutes past the clock and the speed of the train is 5 km/min. A passenger starts at the last minute and runs 100 m. How much time will it take for the passenger to reach the entire train at the last minute?"? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about "A train starts at 5 minutes past the clock and the speed of the train is 5 km/min. A passenger starts at the last minute and runs 100 m. How much time will it take for the passenger to reach the entire train at the last minute?"? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for "A train starts at 5 minutes past the clock and the speed of the train is 5 km/min. A passenger starts at the last minute and runs 100 m. How much time will it take for the passenger to reach the entire train at the last minute?"?.
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