Question

Directions: In the following question, two statements are numbered as Quantity I and Quantity II. On solving these statements, we get quantities I and II respectively. Solve both quantities and choose the correct option.

Quantity I: A train of length 100 m can pass a pole in 10 seconds and a platform in 25 seconds. What is the length of the platform?

Quantity II: A train of length 500 m can pass a man standing at platform in 20 seconds and another train coming in opposite direction at a speed of 35 m/s in 30 seconds. What is the length of the second train? 

1. Quantity I < Quantity II
2. Quantity I > Quantity II
3. Quantity I = Quantity II
4. Quantity I ≤ Quantity II
5. Quantity I ≥ Quantity II

Answer 1

Correct Answer - Option 1 : Quantity I < Quantity II

Solving for Quantity I:

Given:

Length of train = 100 m

Time taken to pass the pole = 10 seconds

Time taken to pass the platform = 25 seconds

Formula used:

Speed = Distance/Time

Calculations:

Let the length of platform be x m.

When passing the pole,

Speed of train = 100/10

⇒ 10 m/s

When passing the platform,

10 = (100 + x)/25

⇒ x = 250 – 100

⇒ x = 150 m

∴ Length of platform is 150 m.

 

Solving for Quantity II:

Given:

Length of train = 500 m

Time taken to pass the man = 20 seconds

Time taken to pass the second train = 30 seconds

Speed of second train = 35 m/s

Formula used:

Speed = Distance/Time

Calculations:

Let the length of second train be x m.

When passing the man standing at platform,

Speed of first train = 500/20

⇒ 25 m/s

When passing second train,

⇒ (25 + 35) = (500 + x)/30

⇒ x = 1800 – 500

⇒ x = 1300 m

∴ Length of platform is 1300 m.

∴ Quantity I < Quantity II