Math, asked by khanmubbashir1234, 8 months ago

a express train covers a distance of 180 km at a speed of x km/h . if the speed is changed to (x+2) km/h it takes 1hr 30 minutes less to cover same distance. find x​

Answers

Answered by sahilrajwat
1

Answer:

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Step-by-step explanation:

Let the speed of the train be xkmph

The time taken by the train to travel 180km is

x

180

h

The increased speed is x+9

The time taken is

x+9

180

According to the question,

The time taken is

x

180

−1180

−1=

x+9

180

x

180−x

=

x+9

180

⟹180x−x

2

+1680−9x=180x

⟹x

2

+9x−1680=0

⟹x

2

+45x−36x−1680=0

⟹x(x+45)−36(x+45)=0

x=36,−45Speed cannot be negative (In this case,)

So The speed of the train is 36kmph

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