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 for the same journey. Find the speed of the train.
Created: 7 months ago | Updated: 1 month ago
Job Solution Bangladesh Bank বাংলাদেশ ব্যাংক অফিসার ০২ -১২-২০২২ গণিত
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Given distance=360 km. 

Let the speed of the train be x km/hr.

Speed when increased by 5 km/hr =(x+5) km/hr

x360​−(x+5)360​=1

x(x+5)[360x+1800−360x]​=1

x2+5x−1800=0

x2+45x−40x−1800=0

x(x+45)−40(x+45)=0

(x−40)(x+45)=0

 

x=40,−45

The speed of the train is 40 km/hr.

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