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# A Train Travels 360 Km at a Uniform Speed. If the Speed Had Been 5 Km/Hr More, It Would Have Taken 1 Hour Less for the Same Journey. Form the Quadratic Eqiation to Find the Speed of the Train. - CBSE Class 10 - Mathematics

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#### Question

A train travels 360 km at a uniform speed. If the speed had been 5 km/hr more, it would have taken 1 hour less for the same journey. Form the quadratic eqiation to find the speed of the train.

#### Solution

Let Speed of train be  x km/hr

Distance travelled by train = 360 km

We know that

"Time of total"="Distance travelled"/"Speed of the train"=360/x hr

If speed had been 5 km/hr more ⇒ (x + 5)km/hr

"Time of travel"="Distance travelled"/"Speed of the train"=360/(x+5) hr

Give that,

Time of travel when speed is increased is 1 hour less than of the actual time of travel

rArr360/x-360/(x+5)=1

rArr360(1/x-1/(x+5))=1

rArr360((x+5-x)/(x(x+5)))=1

⇒ 360(5) = x(x + 5)

⇒ x2 + 5x = 1800

⇒ x2 + 5x + 1800 = 0

∴ The required quadratic equation to find the speed of the train is x2 + 5x + 1800 = 0

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Solution A Train Travels 360 Km at a Uniform Speed. If the Speed Had Been 5 Km/Hr More, It Would Have Taken 1 Hour Less for the Same Journey. Form the Quadratic Eqiation to Find the Speed of the Train. Concept: Quadratic Equations.
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