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

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  1. 5.5 km/hr
  2. 12.5 km/hr
  3. 87.5 km/hr
  4. 80.5 km/hr

Answer (Detailed Solution Below)

Option 3 : 87.5 km/hr
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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

Formula Used:

Speed = Distance / Time

Calculation:

Speed of the second train = 400 km / 4 hours

Speed of the second train = 100 km/hr

Ratio of speeds of the two trains = 7:8

Let the speed of the first train be 7x and the speed of the second train be 8x.

We know 8x = 100 km/hr

⇒ x = 100 / 8

⇒ x = 12.5

Speed of the first train = 7x

⇒ Speed of the first train = 7 × 12.5

⇒ Speed of the first train = 87.5 km/hr

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

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