Solve this :- <br /><br />
A motor boat whose speed is 18 km/hr in still water takes 1 hr more to go 24 km upstream than to return downstream to the same spot. Find the speed of the stream.<br /><br />
Answers
Ans: 6km/hr
step by step procedure
Time = distance / speed
Given, motorboat whose speed in still water is 18 km/hr takes 1hour more to go 24 km upstream that to return downstream to the same point.
Let, the speed of stream be 'a' km/hr
Relative speed of boat going upstream = 18 - a km/hr
Relative speed of boat going downstream = 18 + a km/hr
= (24/18-a) - (24/18+a) =1
24(18+a - 18 +a) = -a^2 +324
a^2 +48a - 324 =0
a^2 +54 a - 6a -324 =0
a(a +54) - 6(a+54)=0
(a - 6) (a + 54)=0
a cannot be negative
a= 6km/hr
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Answer:
Let the speed of stream be x km / hr
For upstream = ( 18 - x ) km / hr
For downstream = ( 18 + x ) km / hr
A.T.Q.
24 / 18 - x - 24 / 18 + x = 1
48 x = 324 - x²
x² + 48 x - 324 = 0
( x + 54 ) ( x - 6 ) = 0
x = - 54 or x = 6
Since speed can't be negative .