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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:

Options:
A .  70 km/hr
B .  75 km/hr
C .  84 km/hr
D .  87.5 km/hr
Answer: Option D

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


Then, 8x = \(\left(\frac{400}{4}\right)=100\)


\(x=\left(\frac{100}{8}\right)=12.5\)


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


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