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.

dsuc.created: 2 years ago | dsuc.updated: 1 year ago

dsuc.updated: 1 year ago

30 km/hr

40 km/hr

50 km/hr

60 km/hr

Bangladesh Bank বাংলাদেশ ব্যাংক অফিসার ০২ -১২-২০২২ গণিত ট্রেন ও গতিবেগ (Train & Speed)

dsuc.explanation

common.best_ans:

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.

2 years ago

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Titu Saha

গণিত

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