train travels a distance of 480 km at a uniform speed if the speed had been 8 km per hour less then it would have taken 3 hours more to cover the same distance what is the speed of the train? solve by quadratic equation of one variable About the author Melody
Answer: Let the speed of the train be x km/hr. Then Time taken to travel a distance of 480km= 480/x hr Time taken by the train to travel a distance of 480km with the speed (x−8)km/hr =480/x-8 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 ∴ 480/x-8 = 480/x+3 ⇒ 480/x-8 − 480/x =3 ⇒ 480(x−x+8)/x(x-8) =3 ⇒ 480*8/x(x−8) =3 ⇒3x(x−8)=480×8⇒x(x−8)=160×8 ⇒x^2 −8x−1280=0 This is the required quadratic equation. hope this will help you ☺️☺️ pls mark my answer as brainliest Reply
Answer:
Let the speed of the train be x km/hr. Then
Time taken to travel a distance of 480km= 480/x hr
Time taken by the train to travel a distance of 480km with the speed (x−8)km/hr =480/x-8 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
∴ 480/x-8 = 480/x+3
⇒ 480/x-8 − 480/x =3
⇒ 480(x−x+8)/x(x-8) =3
⇒ 480*8/x(x−8) =3
⇒3x(x−8)=480×8⇒x(x−8)=160×8
⇒x^2 −8x−1280=0
This is the required quadratic equation.
hope this will help you ☺️☺️
pls mark my answer as brainliest