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A train travels 360 km at a uniform speed. If the speed had been 5 km/h more, it would have taken 1 hour less. The original speed (km/h) is:

Class 10Quadratic Word ProblemsAlgebra — Quadratics

A80
B36
C40
D44

Step-by-Step Solution

\frac{360}{x} - \frac{360}{x + 5} = 1, \frac{360 ( 5 )}{x ( x + 5 )} = 1, x^{2} + 5 x - 1800 = 0, (x + 45) (x - 40) = 0. x = 40 km / h

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Answer: C) 40

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