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A vehicle travels from city A to city B. During the first part of the journey its average speed is whilst in the rest of the journey it is. By what factor
is the length of the second part of the journey longer than that of the first part if the average speed calculated for
Asked by satyamsinghtech367 | 04 Jul, 2022, 09:06: PM
Expert Answer
Part (a)
Speed = aritmatic mean of speed of both parts of journey = ( v1 + v2 ) /2
Let S1 be the distance travelled in first part and S2 be the distance travelled in second part.
We can write the following expression for total time of journey
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Part (b)
Speed = geometric mean of speed of both parts of journey =
Let S1 be the distance travelled in first part and S2 be the distance travelled in second part.
We can write the following expression for total time of journey
---------------------------------------------------------
Part (c)
Speed = harmonic mean of speed of both parts of journey =
Let S1 be the distance travelled in first part and S2 be the distance travelled in second part.
We can write the following expression for total time of journey
-------------------------------------------------------------------------
Part (d)
Speed = weighted arithmatic mean of speed of both parts of journey =
Let S1 be the distance travelled in first part and S2 be the distance travelled in second part.
We can write the following expression for total time of journey
---------------------------------------------------------------------
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