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A train overtakes two girls who are walking in the opposite direction in which the train is going at the rate of 3 km/h and 6km/h and passes them completely in 36 seconds and 30 seconds respectively. The length of the train is:

Correct Answer: 150m

Explanation:

Let the length of the train e x meter, and let the speed of train be y km/h, then


x = y + 3 × 5 18 × 36    --------(1)   and   


x = y + 6 × 5 18 × 30   ---------(2)


  


From eq (1) and (2), we get      


y = 12 km/h


Therefore,   x = ( y + 3 ) × 5 18 × 36    =>  x= 150 m


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