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

Related Questions