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A train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?

A. 40 sec

B. 42 sec

C. 45 sec

D. 48 sec

Answer: Option A

Solution(By Examveda Team)

$$\eqalign{ & {\text{Formula}}\,{\text{for}}\,{\text{converting}}\,{\text{from}}\,{\text{km/hr}}\,{\text{to}}\,{\text{m/s:}} \cr & X\,{\text{km/hr}} = {X \times \frac{5}{{18}}} \,{\text{m/s}} \cr & {\text{Therefore,}}\,{\text{Speed}} \cr & = {45 \times \frac{5}{{18}}} \,{\text{m/sec}} = \frac{{25}}{2}{\text{m/sec}} \cr & {\text{Total}}\,{\text{distance}}\,{\text{to}}\,{\text{be}}\,{\text{covered}} \cr & = \left( {360 + 140} \right)m = 500\,m \cr & {\text{Formula}}\,{\text{for}}\,{\text{finding}}\,{\text{Time}} \cr & = {\frac{{{\text{Distance}}}}{{{\text{Speed}}}}} \cr & \therefore {\text{Required}}\,{\text{time}} \cr & = \left( {\frac{{500 \times 2}}{{25}}} \right)\,\sec \cr & = 40\,\sec . \cr} $$

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Comments ( 4 )

  1. Randon Nayem
    Randon Nayem :
    2 years ago

    5/18 has come from 1000/3600

  2. Asma Usama
    Asma Usama :
    2 years ago

    Eme Lamsal :
    When km/hr is changes into m/s then we have
    1km=1000m also 1hr=3600s now km/hr=1000/3600 we get 5/18

  3. Asma Usama
    Asma Usama :
    2 years ago

    Eme Lamsal :
    When km/hr is changes into m/s then we have
    1km=1000m also 1hr=3600s now km/hr=1000/3600 we get 5/18

  4. Eme Lamsal
    Eme Lamsal :
    3 years ago

    Will you explain me how 5/18 comes?

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