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Two trains P and Q of lengths 320m and 540m, respectively, are running in the same direction on parallel tracks at 108km/h and 144km/h, respectively. How much time will the trains take to cross each other completely?
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Two trains P and Q of lengths 320m and 540m, respectively, are running...
Understanding the Problem
To determine how long it will take for trains P and Q to completely cross each other, we need to calculate the relative speed and the total distance they need to cover.
Step 1: Convert Speeds to m/s
- Train P speed = 108 km/h = 30 m/s
- Train Q speed = 144 km/h = 40 m/s
Step 2: Calculate Their Relative Speed
- Since both trains are moving in the same direction, the relative speed is the difference between their speeds:
Relative speed = Speed of Q - Speed of P = 40 m/s - 30 m/s = 10 m/s
Step 3: Calculate Total Distance
- The total distance to be covered for both trains to cross each other is the sum of their lengths:
Total distance = Length of P + Length of Q = 320 m + 540 m = 860 m
Step 4: Calculate Time to Cross Each Other
- Time = Total distance / Relative speed:
Time = 860 m / 10 m/s = 86 seconds
Final Answer
Thus, the time taken for trains P and Q to completely cross each other is 86 seconds.
To determine how long it will take for trains P and Q to completely cross each other, we need to calculate the relative speed and the total distance they need to cover.
Step 1: Convert Speeds to m/s
- Train P speed = 108 km/h = 30 m/s
- Train Q speed = 144 km/h = 40 m/s
Step 2: Calculate Their Relative Speed
- Since both trains are moving in the same direction, the relative speed is the difference between their speeds:
Relative speed = Speed of Q - Speed of P = 40 m/s - 30 m/s = 10 m/s
Step 3: Calculate Total Distance
- The total distance to be covered for both trains to cross each other is the sum of their lengths:
Total distance = Length of P + Length of Q = 320 m + 540 m = 860 m
Step 4: Calculate Time to Cross Each Other
- Time = Total distance / Relative speed:
Time = 860 m / 10 m/s = 86 seconds
Final Answer
Thus, the time taken for trains P and Q to completely cross each other is 86 seconds.
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Two trains P and Q of lengths 320m and 540m, respectively, are running in the same direction on parallel tracks at 108km/h and 144km/h, respectively. How much time will the trains take to cross each other completely?
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Two trains P and Q of lengths 320m and 540m, respectively, are running in the same direction on parallel tracks at 108km/h and 144km/h, respectively. How much time will the trains take to cross each other completely? 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 Two trains P and Q of lengths 320m and 540m, respectively, are running in the same direction on parallel tracks at 108km/h and 144km/h, respectively. How much time will the trains take to cross each other completely? covers all topics & solutions for SSC CHSL 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two trains P and Q of lengths 320m and 540m, respectively, are running in the same direction on parallel tracks at 108km/h and 144km/h, respectively. How much time will the trains take to cross each other completely?.
Two trains P and Q of lengths 320m and 540m, respectively, are running in the same direction on parallel tracks at 108km/h and 144km/h, respectively. How much time will the trains take to cross each other completely? 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 Two trains P and Q of lengths 320m and 540m, respectively, are running in the same direction on parallel tracks at 108km/h and 144km/h, respectively. How much time will the trains take to cross each other completely? covers all topics & solutions for SSC CHSL 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two trains P and Q of lengths 320m and 540m, respectively, are running in the same direction on parallel tracks at 108km/h and 144km/h, respectively. How much time will the trains take to cross each other completely?.
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