Math, asked by AasthaLuthra583, 11 months ago

A train travels 360 km at a uniform speed. If the speed had been 5 km/hr more, it would have taken 4 hour less for the same journey. Form the quadratic equation to find the speed of the train.

Answers

Answered by apm43
1

Answer:

plz..mark as a brainliest answer...

Attachments:
Answered by topwriters
0

Normal speed of the train is 40 Km/hr

Step-by-step explanation:

Let the uniform speed of the train be x. Then higher speed of the train will be x+5.

Given:

360/x - 360/(x+5) = 1 as time = distance / speed

360(x+5) - 360x = x(x+5)

360x + 1800 - 360x = x² + 5x

x² + 5x - 1800 = 0

x² + 45x - 40x - 1800 = 0

x (x - 45) -40 (x - 45) = 0

(x - 45) (x - 40) = 0

So x can be +40 or 45.

So the normal speed of the train is 40 Km/hr and the increased speed of the train is 45 Km/hr.

Similar questions