A train of length $150$ m takes $10$ sec to pass over another train $100$ m long coming from opposite direction. If the speed of the first train be $30$ km/hr, then what is the speed of the second train ?

54

km/hr

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60

km/hr

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72

km/hr

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36

km/hr

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Solution

The correct option is B $60$ km/hr
Let the speed of the second train be $x$ km/hr
Since both the trains are running in opposite directions, their relative speed $= (30 + x)$ km/hr
$=$ $(30 + x) \times \frac{5}{18}$ m/sec
$∴$ Time taken to pass another train $=$ $\frac{S u m o f t h e l e n g t h s o f b o t h t h e t r a i n s i n m e t r e s}{R e l a t i v e s p e e d i n m / s e c}$
$\Rightarrow 10 = \frac{(150 + 100)}{(30 + x) \times 5 / 18}$
$\Rightarrow (30 + x) = \frac{250 \times 18}{10 \times 5} = 90$
$\Rightarrow x = (90 - 30)$ km/hr $= 60$ km/hr

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A train of length 150 m takes 10 sec to pass over another train 100 m long coming from opposite direction. If the speed of the first train be 30 km/hr, then what is the speed of the second train ?

A train of length $150$ m takes $10$ sec to pass over another train $100$ m long coming from opposite direction. If the speed of the first train be $30$ km/hr, then what is the speed of the second train ?