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
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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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