Question

A man travels 300km party by train and partly by car. If the covers 60km by train and rest by car, it takes him 4 hours. If the travels 100km by train and rest by car, he takes 10 minutes longer. Find the speed of the train and the car.

Answer 1

Let, the speed of train be x & speed of bus be y.

Speed$=\frac{Distance}{Time}$ or $T=\frac{D}{S}$

$4=\frac{60}{x}+\frac{240}{y}$ ………….$\left(1\right)$

$4$ hr $10$ min$=\frac{100}{x}+\frac{200}{y}$ ………..$\left(2\right)$

$\left(1\right)\times 5$

$20=\frac{300}{x}+\frac{240\times S}{y}$

$\left(2\right)\times 3$

$\frac{25\times 3}{62}=\frac{300}{x}+\frac{600}{y}$

$20-\frac{25}{2}=\frac{1200}{y}-\frac{600}{y}$

$\frac{15}{2}=\frac{600}{y}$

$y=80$ km/ph

$4=\frac{60}{x}+\frac{240}{80}$

$x=60$ km/ph.