Question

a train covers a distance of 200 km between two stations at a speed of X kilometres per hour another train covers the same distance at a speed of X + 5 kilometres per hour.

find the time with each train takes to cover the distance between the station

find the value of x if the second train takes 2 hours less​

Answer 1

sorry I do not now the answer

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Answer 2

Answer:

let  $S$  be the speed of the first train and also for the second train,

And let $x$ be the speed for the first train and $x+5$ be the speed for the second train in km/h.

∴ using the equation $speed=\frac{distance}{time}$ ⇒

for the first train    $xkm/h=\frac{200km/h}{t_{1} }$  ⇒

∴ $t_{1} =\frac{200km}{xkm/h} =\frac{200}{x}hours$  ⇒

for the second

   $t_{2} =\frac{200km}{(x+5)km/h} =\frac{200}{x+5} hours$  ⇒

The value of x if it takes 2 hours for the second train⇒

$t_{2} -2=0=\frac{200}{x+5} hours-2$ =0⇒

$\frac{200}{x+5} -2=\frac{200-2(x+5)}{x+5}$ =0 ⇒

$\frac{200-2x-10}{x+5} =\frac{190-2x}{x+5}$ =0⇒

$190-2x=0(x+5)$ ⇒

$190=0+2x$⇒

$190=2x$⇒

$95=x$

Step-by-step explanation: