Math, asked by prakharsinha012345, 3 months ago

A train covers a distance of 90 km in 90 minutes. . Find the time taken by the train to cross an electric pole if the length of the train is 300m.

Answers

Answered by rishabhraj7219
0

Answer:

45km/hr

Step-by-step explanation:

Let original speed =xkm/hr

⇒ Time taken to travel = 90/x hr

⇒ New speed =(x+15)km/hr

⇒ Time taken to travel =

x+15/

90

hr

x/

90

=

x+15/

90

+

2

1

x

90

x+15

90

=

2

1

⇒ 90(

x

1

x+15

1

)=

2

1

x(x+15)

x+15−x

=

180

1

⇒ 15×180=x(x+15)

⇒ 2700=x

2

+15x

⇒ x

2

+15x−2700=0

⇒ x

2

+60x−45x−2700=0

⇒ x(x+60)−45(x+60)=0

⇒ (x+60)(x−45)=0

Speed can not be negative.

∴ The original speed of the train is 45km/hr

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