A scooter travels 120 km in 3 hours and a train travels 120 km in 2 hours. Find the ratio of their speeds.

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Bihar STET Paper I: Mathematics (Held In 2019 - Shift 1)
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  1. 3 ∶ 2
  2. 2 ∶ 3
  3. 5 ∶ 2
  4. 2 ∶ 5

Answer (Detailed Solution Below)

Option 2 : 2 ∶ 3
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Bihar STET Paper 1 Mathematics Full Test 1
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Detailed Solution

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Given:

Distance traveled by the scooter = 120 km

Time taken by the scooter = 3 hours

Distance traveled by the train = 120 km

Time taken by the train = 2 hours

Concept used:

Speed = Distance / Time

Calculation:

Speed of the scooter = Distance / Time = 120 km / 3 hours = 40 km/h

Speed of the train = Distance / Time = 120 km / 2 hours = 60 km/h

Ratio of speeds = Speed of scooter : Speed of train = 40 km/h : 60 km/h = 2 : 3

∴ The ratio of the speeds of the scooter and the train is 2 : 3.

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