A train travels a distance of 480 km

Asked by admin @ in Math viewed by 311 People

A train travels a distance of 480 km at a uniform speed if the speed had been 8 km per hour less then it would have taken 3 hours more to cover same distance we need to find speed of the train

Answered by admin @


Answer:

The original speed of the train is 40 km/hour

Step-by-step explanation:

Let the original speed of the train be x km/hour

Distance traveled by the train = 480 km

\text{Time taken by train = }\frac{480}{x}\\\\\text{If the train would have taken 3 hours more then time = }\frac{480}{x-8}\\\\\implies \frac{480}{x}=\frac{480}{x-8}+3\\\\\implies \frac{480}{x}-\frac{480}{x-8}=3\\\\\implies 3x^2-24x+3840=0\\\\\implies x^2-8x+1280=0\\\\\implies \text{ x = -32 or x = 40}\\\\\text{But speed can not be negative }\implies x=40

Hence, the original speed of the train is 40 km/hour


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