Question
Speed of a boat in still water is 15 kmph and speed of
stream is 13 kmph. A man rows to a place at a distance of 56 km and come back to starting point. The total time taken by him is:Solution
Rate upstream = 15 – 13 = 2 kmph Rate downstream = 15 + 13 = 28 kmph Time taken to go upstream = 56/2 = 28 hr Time taken to go downstream = 56/28 = 2 hr Total time = 28 + 2 = 30 hrs
If x, y, z are the three factors of a 3– 7a – 6, then value of x + y + z will be
If (a2 + 1/a2) = 27, then find the value of (a3 - 1/a3).
(u - 5) 2 + (v + 2) 2 + (w – 4) 2 = 0, then find the value of 4u - v + w.
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
If AB = x + 3, BC = 2x and AC = 4x − 5, then for what value of ‘x’ does B lie on AC?
If (x2 + y2) = 9 and (xy)2 = 3, then find the value of (x4 + y4).
x + y = 4, xy = 2, y + z = 5, yz = 3, z + x = 6 and xz =4, then find the value of x 3 + y 3 + z 3 – 3xyz.
...If √n + (1/√n) = 6, then find the value of n + (1/n).
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