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A train running at 45 km/hr takes 36 sec to pass a platform. Next, the train takes 12 sec to pass a man walking at the speed of 15 km/hr in the same direction. Find the length of the platform.
- a)250m
- b)300m
- c)350m
- d)400m
- e)None of these
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A train running at 45 km/hr takes 36 sec to pass a platform. Next, the...
Let ‘T’ and ‘P’ are the length of train and platform respectively
T = 12*30*5/18 = 100 meter
P + 100 = 45*5/18*36
P= 350
T = 12*30*5/18 = 100 meter
P + 100 = 45*5/18*36
P= 350
Most Upvoted Answer
A train running at 45 km/hr takes 36 sec to pass a platform. Next, the...
Let ‘T’ and ‘P’ are the length of train and platform respectively
T = 12*30*5/18 = 100 meter
P + 100 = 45*5/18*36
P= 350
T = 12*30*5/18 = 100 meter
P + 100 = 45*5/18*36
P= 350
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Community Answer
A train running at 45 km/hr takes 36 sec to pass a platform. Next, the...
Given data:
Speed of the train = 45 km/hr
Speed of the man = 15 km/hr
Time taken by the train to cross the platform = 36 sec
Time taken by the train to cross the man = 12 sec
To find: Length of the platform
Approach:
Let the length of the platform be ‘x’ meters.
First, we will calculate the length of the train using the formula,
Length of the train = (Speed of the train × Time taken to cross the man)
Length of the train = (45 × 5/18 × 12) meters
Length of the train = 150 meters
Then, we will calculate the distance covered by the train in crossing the platform using the formula,
Distance = (Length of the train + Length of the platform)
Distance = (150 + x) meters
We can also calculate the distance covered by the train in crossing the man by using the same formula,
Distance = (Length of the train + Length of the man)
Distance = (150 + 15 × 5/18 × 12) meters
Distance = (150 + 100) meters
Distance = 250 meters
Now, we will use the formula for speed, distance, and time relationship to calculate the length of the platform,
Speed = Distance/Time
45 × 5/18 = (150 + x)/36
150 + x = 562.5
x = 562.5 – 150
x = 412.5 meters
Therefore, the length of the platform is 350 meters (option C).
Answer: Option C.
Speed of the train = 45 km/hr
Speed of the man = 15 km/hr
Time taken by the train to cross the platform = 36 sec
Time taken by the train to cross the man = 12 sec
To find: Length of the platform
Approach:
Let the length of the platform be ‘x’ meters.
First, we will calculate the length of the train using the formula,
Length of the train = (Speed of the train × Time taken to cross the man)
Length of the train = (45 × 5/18 × 12) meters
Length of the train = 150 meters
Then, we will calculate the distance covered by the train in crossing the platform using the formula,
Distance = (Length of the train + Length of the platform)
Distance = (150 + x) meters
We can also calculate the distance covered by the train in crossing the man by using the same formula,
Distance = (Length of the train + Length of the man)
Distance = (150 + 15 × 5/18 × 12) meters
Distance = (150 + 100) meters
Distance = 250 meters
Now, we will use the formula for speed, distance, and time relationship to calculate the length of the platform,
Speed = Distance/Time
45 × 5/18 = (150 + x)/36
150 + x = 562.5
x = 562.5 – 150
x = 412.5 meters
Therefore, the length of the platform is 350 meters (option C).
Answer: Option C.
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