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Goods train which is 1680 m long traveling at 90 km/h takes 1 minute 10 seconds to cross passenger Express when traveling in opposite direction whereas it takes 4 minutes 40 seconds to overtook it when traveling in the same direction. How much time passenger express takes to cross a tunnel which is 1280 m long?
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Goods train which is 1680 m long traveling at 90 km/h takes 1 minute 1...
Introduction
To determine how long it takes for the passenger express to cross a tunnel that is 1280 m long, we need to analyze the information provided about the goods train and the passenger express.
1. Speed Conversion
- The goods train travels at 90 km/h, which converts to:
- Speed in m/s = (90 * 1000) / (60 * 60) = 25 m/s.
2. Time Taken to Cross in Opposite Direction
- The goods train takes 1 minute 10 seconds (70 seconds) to cross the passenger express.
- Distance covered while crossing = Length of goods train + Length of passenger express.
Let the length of the passenger express be L meters.
Total distance = 1680 m + L.
- Relative speed when traveling in opposite directions = 25 m/s + Speed of passenger express (V).
- Using the formula: Distance = Speed × Time,
- 1680 m + L = (25 + V) * 70.
3. Time Taken to Overtake in Same Direction
- The goods train takes 4 minutes 40 seconds (280 seconds) to overtake the passenger express.
- Distance covered = Length of goods train + Length of passenger express.
- Relative speed in the same direction = Speed of passenger express (V) - 25 m/s.
- Using the formula:
- 1680 m + L = (V - 25) * 280.
4. Solving the Equations
- We now have two equations:
1. 1680 + L = (25 + V) * 70.
2. 1680 + L = (V - 25) * 280.
From these equations, we can solve for the length of the passenger express (L) and its speed (V).
5. Time for Passenger Express to Cross the Tunnel
- Once we have the speed (V) of the passenger express, we can calculate the time taken to cross a tunnel of 1280 m length using the formula:
- Time = Distance / Speed.
- If the speed of the passenger express is determined to be X m/s, then time to cross the tunnel = 1280 / X seconds.
This process will yield the required time for the passenger express to cross the tunnel.
To determine how long it takes for the passenger express to cross a tunnel that is 1280 m long, we need to analyze the information provided about the goods train and the passenger express.
1. Speed Conversion
- The goods train travels at 90 km/h, which converts to:
- Speed in m/s = (90 * 1000) / (60 * 60) = 25 m/s.
2. Time Taken to Cross in Opposite Direction
- The goods train takes 1 minute 10 seconds (70 seconds) to cross the passenger express.
- Distance covered while crossing = Length of goods train + Length of passenger express.
Let the length of the passenger express be L meters.
Total distance = 1680 m + L.
- Relative speed when traveling in opposite directions = 25 m/s + Speed of passenger express (V).
- Using the formula: Distance = Speed × Time,
- 1680 m + L = (25 + V) * 70.
3. Time Taken to Overtake in Same Direction
- The goods train takes 4 minutes 40 seconds (280 seconds) to overtake the passenger express.
- Distance covered = Length of goods train + Length of passenger express.
- Relative speed in the same direction = Speed of passenger express (V) - 25 m/s.
- Using the formula:
- 1680 m + L = (V - 25) * 280.
4. Solving the Equations
- We now have two equations:
1. 1680 + L = (25 + V) * 70.
2. 1680 + L = (V - 25) * 280.
From these equations, we can solve for the length of the passenger express (L) and its speed (V).
5. Time for Passenger Express to Cross the Tunnel
- Once we have the speed (V) of the passenger express, we can calculate the time taken to cross a tunnel of 1280 m length using the formula:
- Time = Distance / Speed.
- If the speed of the passenger express is determined to be X m/s, then time to cross the tunnel = 1280 / X seconds.
This process will yield the required time for the passenger express to cross the tunnel.
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Goods train which is 1680 m long traveling at 90 km/h takes 1 minute 10 seconds to cross passenger Express when traveling in opposite direction whereas it takes 4 minutes 40 seconds to overtook it when traveling in the same direction. How much time passenger express takes to cross a tunnel which is 1280 m long?
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Goods train which is 1680 m long traveling at 90 km/h takes 1 minute 10 seconds to cross passenger Express when traveling in opposite direction whereas it takes 4 minutes 40 seconds to overtook it when traveling in the same direction. How much time passenger express takes to cross a tunnel which is 1280 m long? for SSC CHSL 2025 is part of SSC CHSL preparation. The Question and answers have been prepared according to the SSC CHSL exam syllabus. Information about Goods train which is 1680 m long traveling at 90 km/h takes 1 minute 10 seconds to cross passenger Express when traveling in opposite direction whereas it takes 4 minutes 40 seconds to overtook it when traveling in the same direction. How much time passenger express takes to cross a tunnel which is 1280 m long? covers all topics & solutions for SSC CHSL 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Goods train which is 1680 m long traveling at 90 km/h takes 1 minute 10 seconds to cross passenger Express when traveling in opposite direction whereas it takes 4 minutes 40 seconds to overtook it when traveling in the same direction. How much time passenger express takes to cross a tunnel which is 1280 m long?.
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