Directions: Given below are two quantities named A and B. Based on th...
Quantity A:
⇒ Speed of sound = 1100 m/min
⇒ Speed of train = 60 km/hr = (60 × 1000) / 60 = 1000 m/min
⇒ Relative speed = 1100 – 1000 = 100 m/min
Now, Length of train will be equal to the distance travelled by sound in 1.5 min,
⇒ Length of train = 100 × 1.5 = 150 m
Quantity B:
Let speed of the train be x m/sec
As, the train crosses one person travelling with 5 m/sec in 6 sec,
⇒ Relative speed = x + 5
⇒ Length of train = (x + 5) × 6
As, the train crosses one person travelling with 10 m/sec in 5 sec,
⇒ Relative speed = x + 10
⇒ Length of train = (x + 10) × 5
According to the question,
⇒ (x + 5) × 6 = (x + 10) × 5
⇒ 6x + 30 = 5x + 50
⇒ x = 20
⇒ Length of the train = (20 + 5) × 6 = 150 m
∴ Quantity A = Quantity B
Hence, the correct option is (E).