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Given below are two quantities named A & B. Based on the given information; you have to determine the relation between the two quantities. You should use the given data and your knowledge of Mathematics to choose between the possible answers. Quantity A∶ The ratio of speeds of two trains is 3 ∶ 4. If the second trains can cover 550 km in 5 hours 30 minutes, then find the speed of first train in km/hr. Quantity B∶ Find the speed of a train in km/hr which can cross a platform whose length is double the train’s length in 60 seconds. The platform is crossed by another train of length 600 meter running at 90 km/hr in 56 seconds. 

Given below are two quantities named A & B. Based on the given information; you have to determine the relation between the two quantities. You should use the given data and your knowledge of Mathematics to choose between the possible answers. Quantity A∶ The ratio of speeds of two trains is 3 ∶ 4. If the second trains can cover 550 km in 5 hours 30 minutes, then find the speed of first train in km/hr. Quantity B∶ Find the speed of a train in km/hr which can cross a platform whose length is double the train’s length in 60 seconds. The platform is crossed by another train of length 600 meter running at 90 km/hr in 56 seconds.  Correct Answer Quantity A > Quantity B

Quantity A∶

Since second trains can go cover 550 km in 5 hours 30 minutes i.e. 5.5 hours;

∴ Speed of second train = 550/5.5 = 100 km/hr

Since the ratio of speeds of two trains is 3 ∶ 4;

∴ Speed of first train = 3/4 × 100 = 75 km/hr

Quantity B∶

90 km/hr = 90 × 5/18 = 25 meter/sec

Suppose the length of the platform = x meter

∴ (x + 600)/25 = 56

⇒ x + 600 = 1400

⇒ x = 800 meter

∴ Length of the first train = 800/2 = 400 meter

∴ Speed of the first train = (400 + 800)/60 = 20 meter/sec

∴ Speed of the first train = 20 × 18/5 = 72 km/hr

∴ Quantity A > Quantity B

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