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A goods train runs 360 km from Chennai to Bengaluru. If its usual speed were 5 km/h more, the trip would take 1 hour less. Find the usual speed.

Class 10Quadratic Word Problems: Work and PipesQuadratic Equations

A45 km/h
B35 km/h
C60 km/h
D40 km/h

Step-by-Step Solution

\frac{360}{x} - \frac{360}{x + 5} = 1 \Rightarrow 1800 = x (x + 5) \Rightarrow x^{2} + 5 x - 1800 = 0 \Rightarrow (x - 40) (x + 45) = 0

. A speed cannot be negative, so

x = 40

km/h.

Answer: D) 40 km/h

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