Question
Two boats A and B are rowing in two different rivers M
and N respectively. Find the distance covered by boat B in 12 hours downstream. i) Boat A can cover 360 km downstream in 6 hours while B can cover 96 km upstream in 4 hours. ii) Speed of streams (M + N) = 7 km/hr iii) Distance cover by B in y hours downstream is 150 km more than the distance cover by B in (v+5) hours upstream.Solution
Speed of boat A in still water = VA km/hr Speed of boat B in still water = VB km/hr Speed of river M = m km/hr Speed of river N = n km/hr In 12 hrs boat B will cover 12(VB + n) km From Statement i: VA + m = 60 ------(1) VB + n = 24 ------(2) From statement (ii) m + n = 7 -----(3) From statement iii: One more variable is added as y so we cannot find the answer even combining all the three statements.
The average of three numbers a, b and c is 2 more than c. The average of a and b is 48. If d is 10 less than c, then the average of c and d is:
If the sum of three numbers is zero, then which of the options below will always be equal to the value of the sum of the cubes of those numbers?
If  x = 19 , find x 5 - 20  x 4 + 20  x 3 - 20x 2 + 20x  - 20 = ?
Given that x8-34x4+1=0, x>0. What is the value of (x3+ x-3)?

If x2a = y2b =z2c ≠ 0 and x2 = yz, then the value of (ab + bc + ca) /bc is :
when x =4 and y =-6 then find the value of 27x³ +58x²y +31xy² +8y³?
Given that x = 80, y = -35 and z = -45, Determine the value of [(x³ + y³ + z³)/10³]
22% of ‘x’ is equal to 66% of ‘y’, then find the value of x: y.
If, 4x + y = 10, and 2xy = 8, and 4x > y, then find the value of 64x³ – y³.