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Two trains 140 m and 160 m long run at the speed of 60 kmph and 40 kmph respectively in opposite directions on parallel tracks. The time (in seconds) which they take to cross each other is :
- a)9
- b)9.6
- c)10
- d)10.8
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
Two trains 140 m and 160 m long run at the speed of 60 kmph and 40 km...
Time = Distance / Velocity
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Distance =140+160=300m=0.3km
Relative velocity =60+40=100kmph (opp. direction) Time
=(0.3/100)h
or (0.3/100)×3600=10.8sec
Time =10.8 sec.
Most Upvoted Answer
Two trains 140 m and 160 m long run at the speed of 60 kmph and 40 km...
To solve this problem, we can use the concept of relative velocity. The relative velocity of the two trains is the sum of their individual velocities since they are moving in opposite directions.
Given:
Length of first train (A) = 140 m
Length of second train (B) = 160 m
Speed of first train (Va) = 60 kmph
Speed of second train (Vb) = 40 kmph
Step 1: Convert the speeds from kmph to m/s
We know that 1 kmph = 5/18 m/s
So, the speed of first train (Va) = 60 × 5/18 = 50/3 m/s
The speed of second train (Vb) = 40 × 5/18 = 100/9 m/s
Step 2: Calculate the relative velocity (Vr)
The relative velocity (Vr) = Va + Vb
Vr = 50/3 + 100/9 = (150 + 100)/9 = 250/9 m/s
Step 3: Calculate the time taken to cross each other (t)
The time taken to cross each other is equal to the total distance covered divided by the relative velocity.
Total distance covered = Length of first train (A) + Length of second train (B)
Total distance covered = 140 + 160 = 300 m
t = Total distance covered / Relative velocity
t = 300 / (250/9)
t = 300 * 9/250
t = 27/25 s
Step 4: Convert the time to seconds
Since the time is given in seconds, we need to convert it from fraction form to decimal form.
t = 27/25 s = 1.08 s
Therefore, the time taken by the trains to cross each other is 1.08 seconds, which is approximately 10.8 seconds. Hence, the correct answer is option D) 10.8.
Given:
Length of first train (A) = 140 m
Length of second train (B) = 160 m
Speed of first train (Va) = 60 kmph
Speed of second train (Vb) = 40 kmph
Step 1: Convert the speeds from kmph to m/s
We know that 1 kmph = 5/18 m/s
So, the speed of first train (Va) = 60 × 5/18 = 50/3 m/s
The speed of second train (Vb) = 40 × 5/18 = 100/9 m/s
Step 2: Calculate the relative velocity (Vr)
The relative velocity (Vr) = Va + Vb
Vr = 50/3 + 100/9 = (150 + 100)/9 = 250/9 m/s
Step 3: Calculate the time taken to cross each other (t)
The time taken to cross each other is equal to the total distance covered divided by the relative velocity.
Total distance covered = Length of first train (A) + Length of second train (B)
Total distance covered = 140 + 160 = 300 m
t = Total distance covered / Relative velocity
t = 300 / (250/9)
t = 300 * 9/250
t = 27/25 s
Step 4: Convert the time to seconds
Since the time is given in seconds, we need to convert it from fraction form to decimal form.
t = 27/25 s = 1.08 s
Therefore, the time taken by the trains to cross each other is 1.08 seconds, which is approximately 10.8 seconds. Hence, the correct answer is option D) 10.8.
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Two trains 140 m and 160 m long run at the speed of 60 kmph and 40 kmph respectively in opposite directions on parallel tracks. The time (in seconds) which they take to cross each other is :a)9b)9.6c)10d)10.8Correct answer is option 'D'. Can you explain this answer?
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Two trains 140 m and 160 m long run at the speed of 60 kmph and 40 kmph respectively in opposite directions on parallel tracks. The time (in seconds) which they take to cross each other is :a)9b)9.6c)10d)10.8Correct answer is option 'D'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about Two trains 140 m and 160 m long run at the speed of 60 kmph and 40 kmph respectively in opposite directions on parallel tracks. The time (in seconds) which they take to cross each other is :a)9b)9.6c)10d)10.8Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two trains 140 m and 160 m long run at the speed of 60 kmph and 40 kmph respectively in opposite directions on parallel tracks. The time (in seconds) which they take to cross each other is :a)9b)9.6c)10d)10.8Correct answer is option 'D'. Can you explain this answer?.
Two trains 140 m and 160 m long run at the speed of 60 kmph and 40 kmph respectively in opposite directions on parallel tracks. The time (in seconds) which they take to cross each other is :a)9b)9.6c)10d)10.8Correct answer is option 'D'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about Two trains 140 m and 160 m long run at the speed of 60 kmph and 40 kmph respectively in opposite directions on parallel tracks. The time (in seconds) which they take to cross each other is :a)9b)9.6c)10d)10.8Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two trains 140 m and 160 m long run at the speed of 60 kmph and 40 kmph respectively in opposite directions on parallel tracks. The time (in seconds) which they take to cross each other is :a)9b)9.6c)10d)10.8Correct answer is option 'D'. Can you explain this answer?.
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