If a train travelled 9 km/hr slower, it would take one hour more to travel 410 km. The equation representing this situation is :

$\frac{510}{x - 9} - \frac{410}{x} = x - 1$

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$\frac{410}{x - 9} - \frac{410}{x} = 1$

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$\frac{410}{x} - \frac{410}{x - 9} = 1$

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$\frac{410}{x - 9} - \frac{410}{x} = - 1$

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Solution

The correct option is B
$\frac{410}{x - 9} - \frac{410}{x} = 1$

Let the speed of the train be x km/hr.
Distance travelled = 410 km

Time taken to travel 410 km = $\frac{410}{x}$ hours

When the speed is decreased by 9 km/h, the new speed is (x-9)

Time taken to travel 410 km with the new speed is $\frac{410}{x - 9}$ hours

According to the question,
$\frac{410}{x - 9} - \frac{410}{x} = 1$

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