# Two trains are moving in opposite directions @ 60 km/hr and 90 km/hr. Their lengths are 1.10 km and 0.9 km respectively. The time taken by the slower train to cross the faster train in seconds is:

A. 36

B. 45

C. 48

D. 49

**Answer: Option C **

__Solution(By Examveda Team)__

$$\eqalign{
& {\text{Relative}}\,{\text{speed}} = \left( {60 + 90} \right)\,{\text{km/hr}} \cr
& = {150 \times \frac{5}{{18}}} \,{\text{m/sec}} \cr
& = {\frac{{125}}{3}} \,{\text{m/sec}} \cr
& {\text{Distance}}\,{\text{covered}} \cr
& = \left( {1.10 + 0.9} \right)\,km \cr
& = 2\,km \cr
& = \,2000\,m \cr
& {\text{Required}}\,{\text{time}} \cr
& = {2000 \times \frac{3}{{125}}} \,{\text{sec}} \cr
& = 48\,sec \cr} $$
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I cant understand where does 5/18 m/sec came from. I know the fact that we have converted km to m but whats the process of it. Kindly explain