Question
A boat has a speed of 30 km/h in still water. When the
boat travels downstream in a stream, its speed increases by 50% compared to when it moves upstream. Determine the speed of the stream.Solution
Let the speed of the stream = 'k' km/h Then, upstream and downstream, speed of the boat are (30 - k) km/h and (30 + k) km/h, respectively According to the question, 30 + k = (30 - k) X 1.5 Or, 30 + k = 45 - 1.5k Or, 2.5k = 15 So, k = 6 Therefore, speed of the stream = 6 km/h
If x + y + z = 4, xyz = 6 & x2 + y2 + z2 = 8 then find the value of x3 + y3 + z3.
If the ratio of the areas of two triangles is 4:3 and the ratio of their heights is 3:4, then the ratio of the lengths of their bases will be
(123×123×123 + 130×130×130)/(123×123 - 123×130 + 130×130) = ?
Find the value of
(1 - `1/(p+1)` ) + (1 - `2/(p+1)` ) + (1 - `3/(p+1)` ) + ........................... + (1 - `p/(p+1)` )
If x² + x = 11
find (x+4)³ +1/((x+4)³)
If x² + px + q = 0 has roots 4 and -3, find the values of p and q.
If (x² + 1)/x = 3, what is the value of (x¹² + 1)/x ⁶ ?
If x = 19, then the value of x5 - 20x4 + 20x3 - 20x2 + 20x - 1 is
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