In the following question, two statements are numbered as A and B. On solving these statements, we get quantities A and B respectively. Solve both quantities and choose the correct option. Quantity A: A 300 m long train crosses a platform in 39 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform? Quantity B: A train running at 60 kmph crosses a pole in 30 seconds. What is the length of the train?
In the following question, two statements are numbered as A and B. On solving these statements, we get quantities A and B respectively. Solve both quantities and choose the correct option. Quantity A: A 300 m long train crosses a platform in 39 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform? Quantity B: A train running at 60 kmph crosses a pole in 30 seconds. What is the length of the train? Correct Answer Quantity A < Quantity B
Quantity A:
It is given that, 300 m long train crosses a signal pole in 18 seconds
We know that, Speed = Distance/time
Speed of train = 300/18 = 50/3 m/s
It is also given that, same train crosses a platform in 39 seconds
Let the length of the platform be x meters
Also, Distance = Speed × Time
⇒ x + 300 = 50/3 × 39
⇒ (x + 300) = 650
∴ x = 350 m
Quantity B:
As compared with length of the train, length of the pole is negligible
We know that speed = distance/time
Speed = 60 kmph = 60 × (5/18)m/s = 16.67 m/s
⇒ Length of train = 16.67 × 30 = 500 m
∴ Length of the train = 500 m
∴ Quantity A < Quantity B