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Q . A train tsovelling at a uniformspeed for 360pm would have taken48 minutes fess to travell thesame distance if it speed were5 km/h more. Find the original speedthe train.प्रियांश ​

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A train, travelling at a uniform speed for 360 KM, would have TAKEN 48 minutes less to travel the same distance if its speed were 5 km/h more. Find the original speed of the train in km/hr.

December 30, 2019avatar

Mudra Tirkey

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ANSWER

Let x= Original Speed

we know that

speed

distance

=time

So as per the question the following EQUATION can be formed

x

360

−

x+5

360

=

60

48

[1 hour = 60 minutes]

⇒

x

1

−

x+5

1

=

60

48

⋅

360

1

⇒

x

2

+5x

5

=

450

1

⇒x

2

+5x−2250=0

⇒x

2

−45x+50x−2250=0

⇒x(x−45)+50(x−45)=0

⇒(x−45)(x+50)=0

x=45,−50

As the speed can't be negative so,

x=45

Please mark me the brainest.



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