Question

u
W
X
A train travels 360 km at a uniform speed. If the speed had been 5 km/hr
more, it would have taken 1 hr less for the same journey. Find the speed
of the train.​

Answer 1

Answer:

Here is ur answer buddy

Answer 2

$\boxed{\huge{\bf{\red{Answer}}}}$

$40 \ km/hr$

Step-by-step explanation:

$Let \ uniform \ speed \ of \ train \ be \ x \ km/hr\\\\\\increased \ speed=x+5 \ km/hr\\\\\\we \ know \ Speed=\frac{distance}{time}\\\\\\given \ distance=360 \ km\\\\\\time \ of \ train \ at \ uniform \ speed=\frac{360}{x}hr \ ........t_1\\\\\\ time \ of \ train \ at \ increased \ speed=\frac{360}{x+5}hr\ ........t_2\\\\\\t_1>t_2\\\\So, \ t_1-t_2=1 \ as \ given \ in \ question$

$\frac{360}{x}-\frac{360}{x+5} =1\\\\\\360(\frac{1}{x}- \frac{1}{x+5})=1\\\\\\360(\frac{x+5-x}{x(x+5)})=1\\\\\\ 360\times5=x^2+5x\\\\\\x^2+5x-1800=0\\\\\\x^2+45x-40x-1800=0\\\\\\x(x+45)-40(x+45)\\\\\\(x+45)(x-40)\\\\\\x=-45 \ or \ x=40 \ speed \ cannot \ be \ negative\\\\\\So \ speed \ of \ the \ train \ is \ 40 \ km/hr.$

Hope it is clear to you.