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"While walking along a tram line I noticed that a tramcar caught up with me every 12 minutes, and every 4 minutes a tramcar coming in the opposite

direction passed me. Both the tram cars and I were moving at a uniform rate.What was the time interval between two tram cars leaving their terminals?"i need an answer please..pls EXPLAIN also.


If the tramcars leave their terminals every x minutes, that means that x minutes after I have met a tramcar the following car arrives at that spot. If it is catching up with me, then during the remaining 12 - x minutes it has to cover the same distance that I do in 12 minutes. Thus, the distance that I cover in one minute is covered by the tram  (12-x)/12 minutes.  Now if the tram  is coming towards me, then it will meet me 4 minutes after the preceding one, and during the remaining­ in( (x - 4) minutes it will cover the same distance that I do in 4. minutes. This means that the distance I cover in one minute is covered by the tram in (x-4)/4 minutes. We get the equation --- (12-x)/12 = (x-4)/4    Thus x = 6 .The tramcars start out every 6 minutes.
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