Math, asked by prakashbhalli, 2 months ago

a train travels 480km at a uniform speed. If the speed had been 10km/h more, it would have taken 4hours less for the same journey, find the speed of the train​

Answers

Answered by ommishra9867
0

Answer:

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

Time taken to travel a distance of 480km=

x

480

hr

Time taken by the train to travel a distance of 480km with the speed (x−8)km/hr=

x−8

480

hr

It is given that if the speed had been 8km/hr less, then the train would have taken 3 hours more to cover the same distance

x−8

480

=

x

480

+3

x−8

480

x

480

=3⇒

x(x−8)

480(x−x+8)

=3⇒

x(x−8)

480×8

=3

⇒3x(x−8)=480×8⇒x(x−8)=160×8⇒x

2

−8x−1280=0

This is the required quadratic equation.

Answered by llBrandedKaminall
1

Step-by-step explanation:

Distance travelled by the train = 480 km

Let the speed of the train be x kmph

Time taken for the journey = 480/x

Given speed is decreased by 8 kmph

Hence the new speed of train = (x – 8) kmph

Time taken for the journey = 480/(x – 8)�

1280 = x2�– 8x

�x2�– 8x – 1280 = 0

On solving we get x = 40

Thus the speed of train is 40 kmph

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