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Two trains are moving in the opposite direction at speed of 30 km/hr and 45 km/hr respectively, whose lengths are 450 m and 550 m respectively. What is the time taken (in seconds) by slower train to cross the faster train?
- a)48
- b)54
- c)62
- d)72
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
Two trains are moving in the opposite direction at speed of 30 km/hr a...
Their relative speed = 30 + 45 = 75 km/hr.
To convert it into m/s multiply it with 5/18
⇒ 75 × 5/18 = 20.833 m/s
Now the total distance to be travelled = 450 + 550 = 1000m
Time required by slower train to cross faster is = 1000/20.833 = 48s
∴ The time required by small train to cross the faster train is 48s
Most Upvoted Answer
Two trains are moving in the opposite direction at speed of 30 km/hr a...
Given information:
- Speed of slower train = 30 km/hr
- Speed of faster train = 45 km/hr
- Length of slower train = 450 m
- Length of faster train = 550 m
To find:
- Time taken by slower train to cross the faster train
Approach:
When two trains are moving in opposite directions, the effective length of the two trains is the sum of their lengths. So, the slower train has to cross the faster train's effective length.
- Find the effective length of the two trains.
- Find the relative speed between the two trains.
- Use the formula time = distance/speed to find the time taken by the slower train to cross the faster train.
Calculation:
- Effective length = length of slower train + length of faster train = 450 m + 550 m = 1000 m
- Relative speed = speed of slower train + speed of faster train = 30 km/hr + 45 km/hr = 75 km/hr = 75 x 5/18 m/s = 125/6 m/s
- Time taken = effective length / relative speed = 1000 m / (125/6 m/s) = (1000 x 6) / 125 s = 48 s
Therefore, the time taken by the slower train to cross the faster train is 48 seconds. Hence, option A is the correct answer.
- Speed of slower train = 30 km/hr
- Speed of faster train = 45 km/hr
- Length of slower train = 450 m
- Length of faster train = 550 m
To find:
- Time taken by slower train to cross the faster train
Approach:
When two trains are moving in opposite directions, the effective length of the two trains is the sum of their lengths. So, the slower train has to cross the faster train's effective length.
- Find the effective length of the two trains.
- Find the relative speed between the two trains.
- Use the formula time = distance/speed to find the time taken by the slower train to cross the faster train.
Calculation:
- Effective length = length of slower train + length of faster train = 450 m + 550 m = 1000 m
- Relative speed = speed of slower train + speed of faster train = 30 km/hr + 45 km/hr = 75 km/hr = 75 x 5/18 m/s = 125/6 m/s
- Time taken = effective length / relative speed = 1000 m / (125/6 m/s) = (1000 x 6) / 125 s = 48 s
Therefore, the time taken by the slower train to cross the faster train is 48 seconds. Hence, option A is the correct answer.
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Community Answer
Two trains are moving in the opposite direction at speed of 30 km/hr a...
Relative speed =30+45
=75km/hr
distance=450+550=1000
time=1000/75*5/18
=1000*18/75*5
48sec
=75km/hr
distance=450+550=1000
time=1000/75*5/18
=1000*18/75*5
48sec
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Two trains are moving in the opposite direction at speed of 30 km/hr and 45 km/hr respectively, whose lengths are 450 m and 550 m respectively. What is the time taken (in seconds) by slower train to cross the faster train?a)48b)54c)62d)72Correct answer is option 'A'. Can you explain this answer?
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