Math, asked by Nishant564, 10 months ago

If the speed of the train is increased by 5 km per hour, it takes 2 hours less in travelling a distance of 300 km. Find the original speed of the train. ​

Answers

Answered by rajsingh24
7

Answer:

25km/hr.

Step-by-step explanation:

Let x km/h be the constant speed of train.

Time taken to cover 300km = 300 / x hrs

Increased speed = x + 5

Time taken to cover 300km when speed is increased to 5 km/h = 300 / x + 5

according to question,

300/x -300/x+5=2

300(x+5) -300x /x(x+5) =2

2(x²+5)=1500

2x²+10=1500

2x²+10-1500=0

2x²+10-1500=0

(divide by 2)

x²+5-750=0

30x-25=-750

30+-25=5

x2 + 30x - 25x - 750 = 0

x(x + 30) - 25(x + 30) = 0

(x + 30) (x - 25) = 0

x=-30 ( this speed was rejected why speed not negative)

hence,

x=25

so, original speed of train =25km/hr.

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Answered by prasha111
0

Answer:

let the speed be. x

then according to the question we have ,

300/x+5 - 300/x = 2 taking common 300 and multiplying both sides by 1/300 we get 1/x+5 - 1/x = 2/300 simplyfying the equation we get

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