Math, asked by ganigavinutha10, 21 days ago

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

Answers

Answered by dimplesingla79
5

Answer:

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Step-by-step explanation:

a train speed had been 8km/hr less, then it would have taken 3 hours more to cover the same distance. Formulate the quadratic equation in terms of the speed of the train.

Medium

Solution

verified

Verified by Toppr

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.

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