Math, asked by shifanaaz55, 11 months ago

a passenger train takes 2 hours 30 minutes more than an express train for a journey of 600km .the speed of the express train is 8km/h more than the passenger train.find the speed of the passenger train

chapter---quadratic equation

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Answered by shreya7843

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shifanaaz55: the values are different

Answered by IIsahzadiII

Answer:

$\huge\boxed{\red{\mathbb{Answer\mapsto}}}$

speed of the passenger train is 40 Km/h.

speed of the express train is 60 km/h.

let the speed of the passenger train is x km/h.

and speed of the express train is y km/h.

$\huge\fcolorbox{aqua}{a}{ATQ}$

passenger train takes 2 and 30 min hour more than an express train to travel a distance of 240km. also the speed of the express train is more than that the passenger train bt 20 km/h.

x + 20 = y .......(1)

$({\frac{240}{x})} = ({\frac {240}{y})}.......(2)$

${240 - x }({\frac{240}{x+20}})= 2$

${240.}({\frac{x + 20 - x}{x}}){x + 20 = 2}$

${120}({\frac{20}{x^2 + 20x}})= 1$

${120}\times{20} = x^2 + 20x$

${x^2 + 20x - 2400 = 0}$

⠀

${x^2 + 60x - 2400= 0}\\{x (x + 60) - 40 (x + 60)}\\ {(x + 60) (x - 40)}\\{[x = -60]} {[x = 40]}$

⛬ The speed of the passenger train is x = 40 km/h.

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a passenger train takes 2 hours 30 minutes more than an express train for a journey of 600km .the speed of the express train is 8km/h more than the passenger train.find the speed of the passenger trainchapter---quadratic equation​

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a passenger train takes 2 hours 30 minutes more than an express train for a journey of 600km .the speed of the express train is 8km/h more than the passenger train.find the speed of the passenger train

chapter---quadratic equation