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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. 

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:

[A]. 70 km/hr
[B]. 75 km/hr
[C]. 84 km/hr
[D]. 87.5 km/hr

Answer: Option D

Explanation:

Let the speed of two trains be 7x and 8x km/hr.

Then, 8x = 1-sym-oparen-h1 400 1-sym-cparen-h1 = 100
4
 x = 1-sym-oparen-h1 100 1-sym-cparen-h1 = 12.5
8

 Speed of first train = (7 x 12.5) km/hr = 87.5 km/hr.

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