Question
Download Solution PDFA train is moving in from north to south direction. It overtakes Raj and Madhur who are walking in the same direction at the rate of 2 km/h and 4 km/h in 9 sec and 10 sec, respectively. If the train is x metres long, find the value of x.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Speed of Raj =2 km\h
Speed of Madhur =4 km\h
Train taken to overtake Raj =9 sec
Train taken to overtake Madhur =10 sec.
Formula used:
Speed = Distance/time
km/h × 5/18=m/sec
Calculation:
When two bodies move in the same direction, then
Relative speed = Difference of their speeds
Let the length and speed of the train is x and V.
Speed of Raj is
Speed of Madhur
Relative speed of the train and Raj
Relative speed of train and Madhur
Now we can write
Hence the length of the train is 50 m.
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