1.

II. The train crosses another train 100 m long coming from the opposite direction at 72 km/hr in 6.4 sec.1). Only I2). Only II3). Both I and II4). Either I or II

Answer»

Let the length of the train be ‘y’ m

Considering statement I,

Speed of train = length of train/time taken to cross signal post = (y/8) m/sec.

Considering statement II,

? Another train is coming from opposite direction, the relative speed is the sum of the individual speeds

Speed of other train = 72 km/hr = 72 × 5/18 = 20 m/sec.

Using information from statement I,

Relative speed = 20 + y/8

Time taken to cross the train = sum of the lengths of train/relative speed

⇒ 6.4 = (y + 100)/(20 + y/8)

128 + 0.8y = y + 100

⇒ 0.2y = 28

⇒ y = 28/0.2 = 140 m

∴ Both the STATEMENTS are necessary to ANSWER the question


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