Question

Two trains starts from two stations 150 km apart at a same time acceleration of first train is 1.5km/hr2and acceleration of second train is 2km/hr2. Calculate the time required for the second train to catch the first one. ?

Answer 1

Dear student ,
$$\begin{gathered} accordingtoquestionletaftertimetseecondcatchfirstandatdis\tan cedfromfirstsatation \\ 150+d=\frac{1}{2}\times 2\times t^2-----1 \\ anddis\tan cetravelledbyfirstd=\frac{1}{2}\times 1.5\times t^2-----2 \\ so150=\frac{1}{2}\times 2\times t^2-\frac{1}{2}\times 1.5\times t^2=\frac{1}{2}\times .5\times t^2 \\ t=\sqrt{150\times 4}=10\sqrt{6}h \end{gathered}$$
Regard