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TRINA DAS

· started a discussion

· 1 Months ago

Detail needed (Question:579220.0)

Last 2 lines of the detailed solution are total mess. Give the solution clearly.

Question:

The speed of a boat in upstream is 2/3 that of downstream. Find the ratio of the speed of the boat in still water and to the average speed of the boat in downstream and upstream?

Options:
A)

4:5

B)

25:24

C)

3:2

D)

2:3

Solution:

Ans: (b) 

X = Speed of boat in still water

Y = Speed of stream


Then

X+YX–Y    = \(\cfrac{3}{2}\)   

\(\cfrac{X}{Y}\)  = \(\cfrac{5}{1}\) 


The average speed of downstream and upstream 

 \(\cfrac{2(X+Y)(X-Y)}{(X+Y)+(X-Y)}\)      = \(\cfrac{24Y}{5}\)

Therefore, Required ratio = X:\(\cfrac{24Y}{5}\)=25Y:24Y=25:24{Since X=5Y}

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