The ratio between the speeds of two trains is 7: 8: If the second train runs 400 kms in 4 hours, then the speed of first train is:

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OPSC ASO (Maths & Reasoning) 27 Aug 2022 Official Paper
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  1. 70 km/h
  2. 75 km/h
  3. 84 km/h
  4. 87.5 km/h

Answer (Detailed Solution Below)

Option 4 : 87.5 km/h
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Detailed Solution

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Given:

Ratio of speeds of two trains = 7:8

Speed of the second train = 400 km in 4 hours = 400 / 4 = 100 km/h

Formula Used:

If the ratio of speeds of two trains is a:b, then:

Speed of the first train = (Speed of the second train × a) / b

Calculation:

Given ratio = 7:8, Speed of the second train = 100 km/h

Speed of the first train = (100 × 7) / 8

⇒ Speed of the first train = 700 / 8

⇒ Speed of the first train = 87.5 km/h

The speed of the first train is 87.5 km/h.

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