Question 3 On a 60 Km track a train travels the first 30 Km with a uniform speed of 30 Km/h.

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let us now look at our third question
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a question states that on 60 kilometer
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track
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a train travels the first 30 kilometer
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with a uniform
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speed of 30 kilometer per hour how fast
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must the train travel the next 30
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kilometer to
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average 40 kilometer per hour for the
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entire trip
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let us now look at our solution
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now let us now begin with the
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writing down the information given in
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the question now it is given in the
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question
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that train travels 30 kilometer
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in first interval with a uniform speed
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of 30 kilometer per hour
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and in the next interval it again
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travels 30 kilometer
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so we have distance traveled
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s1 is equals to s2
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is equals to 30 kilometer
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now for first half of the journey the
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velocity is given
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as v1 is equals to
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30 kilometer per
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r now we are also given that
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average velocity of the train should be
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v average
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is equals to 40 kilometer
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per hour and we have to find
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the velocity of
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train during second half of the trip
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so we have to find velocity v2
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of the train
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so we also know that will average
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velocity is given as
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total distance traveled by the train
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divided by
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total time taken to travel that distance
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so uh average velocity is equals to
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s 1 plus s 2
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upon t1 plus
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t2 now we know that
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uh since s1 is equals to s2 is equals to
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30 kilometer
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let us denote this distance by simply
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s so we have average velocity is equals
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to
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s plus s divided by
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s upon v 1 plus
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s upon v2 now this comes from the
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relation
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speed is equals to
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distance upon time taken
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so now we have
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average velocity is equals to
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2s upon s
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1 upon v 1 plus 1 upon
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v 2. on
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solving and rearranging we get average
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velocity is equals to
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2 v 1 v 2
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upon v 1 plus
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v 2.
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now putting in the values we get
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v average of we know that is 40
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kilometer per hour
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so
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40 is equals to
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2 times 30 times
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v2 upon
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30 plus v2
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or 30 plus
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v2 is equals to
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3 by 2 v2
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so on solving this relation we get
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v2 is equals to
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60 kilometer per
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r
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you

Question 3 On a 60 Km track a train travels the first 30 Km with a uniform speed of 30 Km/h.

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Question 3 On a 60 Km track a train travels the first 30 Km with a uniform speed of 30 Km/h.

physicsgoeasy.com