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Questions below followed by three quantities. Find the relationship between them. Quantity I: Peter travels 25% distance of the total journey by car and 60% of the remaining by train and Bus in the respective ratio of 5 : 4 and the remaining distance he covers on feet. If the sum of the distance which he travels by car and by foot is 396 km, then find the total distance which Peter travels during his journey? Quantity II: A and B start at the same time with speeds of 60 km/hr and 75 km/hr respectively. If in covering the journey A takes 96 minutes longer than B, the total distance of the journey is? Quantity III: The length of the train and that of the platform are equal. If with a speed of 90 km/hr the train crosses the platform in 60 sec, then what is the length of the train (in metres)?

Questions below followed by three quantities. Find the relationship between them. Quantity I: Peter travels 25% distance of the total journey by car and 60% of the remaining by train and Bus in the respective ratio of 5 : 4 and the remaining distance he covers on feet. If the sum of the distance which he travels by car and by foot is 396 km, then find the total distance which Peter travels during his journey? Quantity II: A and B start at the same time with speeds of 60 km/hr and 75 km/hr respectively. If in covering the journey A takes 96 minutes longer than B, the total distance of the journey is? Quantity III: The length of the train and that of the platform are equal. If with a speed of 90 km/hr the train crosses the platform in 60 sec, then what is the length of the train (in metres)? Correct Answer Quantity I > Quantity II < Quantity III

Quantity I:

Let the total distance be 120x

By car = 25/100 × 120x = 30x

By Train = 5/9 × 60/100 × 90x = 30x

By bus = 30x/5 × 4 = 24x

By foot = 120x - 30x - 30x - 24x = 36x

According to question,

30x + 36x = 396

⇒ x = 6 km

Total distance = 120 × 6 = 720 km

Quantity II:

Let the total distance be x km

x/60 - x/75 = 96/60

⇒ (5x - 4x)/300 = 8/5

⇒ 5x - 4x = 480

⇒ x = 480 km

Quantity III:

Let the length of the train = x

According to question

Length of the train = Length of the platform

And we have to change the speed in m/sec

⇒ 90 × 5/18 = 25 m/sec

⇒ 2x/25 = 60

⇒ 2x = 25 × 60

⇒ x = 750 m

∴ Quantity I > Quantity II < Quantity III

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