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Two trains having length of 140 m and 160 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions (on parallel tracks). The time which they take to cross each other, is
- a)10.8s
- b)12s
- c)9.8s
- d)8s
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
Two trains having length of 140 m and 160 m long run at the speed of 6...
Relative speed = (60+40)km/hr
= (100×5/18) m/sec
= (250/9) m/sec
Distance covered in crossing each other =(140+160)m
= 300m
Required time = Distance/Time
=> 300/(250/9)
= 300*(9/250)
= 54/5
= 10.8 sec
= (100×5/18) m/sec
= (250/9) m/sec
Distance covered in crossing each other =(140+160)m
= 300m
Required time = Distance/Time
=> 300/(250/9)
= 300*(9/250)
= 54/5
= 10.8 sec
Most Upvoted Answer
Two trains having length of 140 m and 160 m long run at the speed of 6...
To solve this question, we need to find the time it takes for two trains to cross each other.
Given:
Length of the first train = 140 m
Length of the second train = 160 m
Speed of the first train = 60 km/hr
Speed of the second train = 40 km/hr
Step 1: Convert the speeds from km/hr to m/s.
To convert km/hr to m/s, we divide the value by 3.6.
Speed of the first train = 60 km/hr = (60/3.6) m/s = 16.67 m/s
Speed of the second train = 40 km/hr = (40/3.6) m/s = 11.11 m/s
Step 2: Calculate the relative speed of the two trains.
When two objects are moving in opposite directions, their relative speed is the sum of their individual speeds.
Relative speed = Speed of the first train + Speed of the second train
Relative speed = 16.67 m/s + 11.11 m/s = 27.78 m/s
Step 3: Calculate the time taken to cross each other.
The time taken to cross each other is equal to the sum of the lengths of the two trains divided by the relative speed.
Time taken = (Length of the first train + Length of the second train) / Relative speed
Time taken = (140 m + 160 m) / 27.78 m/s
Time taken = 300 m / 27.78 m/s
Time taken = 10.8 s
Therefore, the correct answer is option 'A' - 10.8 s.
Given:
Length of the first train = 140 m
Length of the second train = 160 m
Speed of the first train = 60 km/hr
Speed of the second train = 40 km/hr
Step 1: Convert the speeds from km/hr to m/s.
To convert km/hr to m/s, we divide the value by 3.6.
Speed of the first train = 60 km/hr = (60/3.6) m/s = 16.67 m/s
Speed of the second train = 40 km/hr = (40/3.6) m/s = 11.11 m/s
Step 2: Calculate the relative speed of the two trains.
When two objects are moving in opposite directions, their relative speed is the sum of their individual speeds.
Relative speed = Speed of the first train + Speed of the second train
Relative speed = 16.67 m/s + 11.11 m/s = 27.78 m/s
Step 3: Calculate the time taken to cross each other.
The time taken to cross each other is equal to the sum of the lengths of the two trains divided by the relative speed.
Time taken = (Length of the first train + Length of the second train) / Relative speed
Time taken = (140 m + 160 m) / 27.78 m/s
Time taken = 300 m / 27.78 m/s
Time taken = 10.8 s
Therefore, the correct answer is option 'A' - 10.8 s.
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Two trains having length of 140 m and 160 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions (on parallel tracks). The time which they take to cross each other, is a)10.8sb)12sc)9.8sd)8sCorrect answer is option 'A'. Can you explain this answer?
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