Question

a train travel 360km at a inform speed in the speed had been 5km more of would have taken 1 hour less for the same journy​

Answer 1

Answer:

$\sf \: The \: speed \: of \: the \: train \: is  \underline{ 40 km/hr.}$

Step-by-step explanation:

$\text{\: Given \: distance \: = \green{360 km.}}$

$\text{Let \: the \: speed \: of \: the \: train \: be  x  \: km/hr.}$

$\sf \: Speed \: when \: increased \: by  \: 5 km/hr \: \\ \sf = \: (x+5) km/hr$

$\sf \: \frac{360}{x} - \frac{360}{(x + 5) \: km by \: hr.}$

$\sf \frac{360x + 180 - 360x}{x(x + 5)} = 1$

$\sf \: \implies \: x {}^{2} \: +5x \: − \: 1800=0$

$\implies\sf \: x {}^{2} \: +45x \: \: −40x \: −1800 \: =0$

$\sf \implies \: x(x+45) \: −40(x+45) \: =0$

$\sf \implies(x−40) \: (x+45) \: = \: 0$

$\longrightarrow\sf \: x= \: 40,−45$

$\sf \: The \: speed \: of \: the \: train \: is  \boxed{ \underline{ \pink{40 km/hr.}}}$