Question
Two trains of equal length are running on parallel lines in the same directions at 46 km/hr and 36 km/hr. The faster train passes the slower train in 36 seconds. The length of each train is?
Answer: Option A
$$\eqalign{
& {\text{Let the length of each train be }}x{\text{ metres}} \cr
& {\text{Then distance covered}} \cr
& {\text{ = 2x metres}} \cr
& {\text{Relative speed}} \cr
& {\text{ = (46}} - {\text{36)km/hr}} \cr
& {\text{ = }}\left( {10 \times \frac{5}{{18}}} \right)m/\sec \cr
& = \left( {\frac{{25}}{9}} \right)m/\sec \cr
& \therefore \frac{{2x}}{{36}} = \frac{{25}}{9} \Leftrightarrow 2x = 100 \Leftrightarrow x = 50 \cr} $$
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$$\eqalign{
& {\text{Let the length of each train be }}x{\text{ metres}} \cr
& {\text{Then distance covered}} \cr
& {\text{ = 2x metres}} \cr
& {\text{Relative speed}} \cr
& {\text{ = (46}} - {\text{36)km/hr}} \cr
& {\text{ = }}\left( {10 \times \frac{5}{{18}}} \right)m/\sec \cr
& = \left( {\frac{{25}}{9}} \right)m/\sec \cr
& \therefore \frac{{2x}}{{36}} = \frac{{25}}{9} \Leftrightarrow 2x = 100 \Leftrightarrow x = 50 \cr} $$
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