Question

A boat covers 32 km upstream and 36 km downstream in 7 hrs,also it covers 40km upstream and 48 km downstream in 9hrs.Find the speed of boat in still water and that of the stream

Answer 1

hey friend...

let the speed of boat in still water is x km/hr
and the speed in stream is y km/hr.


so the speed in upstream is (x-y) km/hr and
downstream is (x+y) km/hr.

so the first eq. will be
32/(x-y) + 36/(x+y) = 7
and the other will be
40/(x-y) + 48/(x+y)=9

so let 1/(x-y) be u and 1/(x+y) be v


so the current eq will be


30u+36v=7
40u+48v=9

so by applying the elimination method u will get the value of u.


then by putting u in given eq you will get the value of v.

so by the u&v you will get (x-y) and (x+y)


so after that you will get the speed in still water and in stream ..


hope it will help you.....

Answer 2

Here is your answer

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