Passing of a train II

A passenger train of length L 1 = 60 m L_1=\text{60 m} travels at speed of v 1 = 80 km/h v_1=\text{80 km/h} . How long (in seconds) does it take this train to pass a freight train of length L 2 = 120 m L_2=\text{120 m} traveling at a speed of v 2 = 30 km/h v_2= \text{30 km/h} in the same direction?

24.92 none 4.93 12.96 5.94

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1 solution

Chew-Seong Cheong
Feb 26, 2019

Using relative velocity of 80 30 = 50 km/h 80-30 = 50 \text{ km/h} and considering the freight train to be stationary, then the passenger train need to travel 120 + 60 = 180 m 120+60 = 180 \text{ m} to pass the freight train. Therefore, the time taken is t = 180 50 × 1000 × 60 × 60 = 12.96 s t = \dfrac {180}{50 \times 1000} \times 60 \times 60 = \boxed{12.96} \text{ s} .

@chakravarthy b , it is so strange to see k m h \frac {km}h . I have never seen this in books. You can use \ ( ... \ ) with no space between backslash \ and the brackets () to effect LaTex. For example, \ (v_1 = 80 \text{ km/h}\ ) v 1 = 80 km/h v_1 = 80 \text{ km/h} .

Chew-Seong Cheong - 2 years, 3 months ago

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@Chew-Seong Cheong ok.

chakravarthy b - 2 years, 3 months ago

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