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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 factoris 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 4th July 2022, 9:06 PM
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

---------------------------------------------------------------------
Answered by Expert 5th July 2022, 8:28 AM
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