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Two trains of equal length are running on parallel lines in the same direction at 46 km/hour and 36 km/hour. The faster train passes the slower train in 36 seconds. The length of each train is

a

72 m

b

80 m

c

82 m

d

50 m

Answer : Option D
Explanation :

Let the length of each train be x metre.

Relative speed = (46 – 36) kmph

=10kmph=(10×518)m./sec.=259 m./sec.=10 \mathrm{kmph}=\left(\frac{10 \times 5}{18}\right) \mathrm{m} . / \mathrm{sec} .=\frac{25}{9} \mathrm{~m} . / \mathrm{sec} .

2x259=36\therefore \frac{2 x}{\frac{25}{9}}=36

2x=36×259=100\therefore 2 x=36 \times \frac{25}{9}=100

x=1002=50\Rightarrow x=\frac{100}{2}=50 metre

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