Let’s assume that pipe B alone can the tank in x minutes, so pipe B fills 1/xth part of tank in one minute. Pipe A can fill the tank 5 times faster than pipe B, so pipe A fills 5/xth part of tank in one minute. Together, the two pipes fill the tank in 50 minutes, so together they fill 1/50th part in one minute. => 1/x + 5/x = 1/50 ⇒ 6/x = 1/50 ⇒ x = 300 minutes ∴ Pipe B alone fills the tank in 300 minutes.
Steel is used to make a hemispherical bowl that is 0.37 cm thick. The bow's inner radius is 6 cm. Find the bowl's outside curved surface.
If the volume and radius of a cylinder is 24640 cm3 and 28 cm respectively then find the height of the cylinder?
If 3 vertices of a parallelogram ABCD are A (1, 2, 3), B (-1, -2, -1) and C (2, 3, 2) (taken in order), then the 4th vertex D is
The base of a right pyramid is a square with diagonal 16 units. Its slant edge is 17 units. What is its vertical height?
A solid cube of side 8 cm is dropped into a rectangular container of length 16 cm, breadth 8 cm and height 15 cm which is partly filled with water. If t...
In a right-angled triangle PQR, right-angled at Q, the length of the side PR is 17 units, length of the base QR is 8 units, and length of the side PQ i...
In AABC, P is a point on AB such that PB: AP = 3: 4 and PQ is parallel to AC. If AR and QS are perpendicular to PC and QS = 9 cm, what is the length (in...
Each side of square ‘A’ is 4 cm less than that of square ‘B’. The perimeter of a rectangle is 3 times the difference of the perimeters of the tw...
When a smaller number divides a larger number, we get a quotient of 6 and a remainder of 5. Find the smaller number if the difference between the two nu...
A wire is moulded into a circle of radius 21 m. Then the wire is bent and shaped into a rectangle of length 36 m. Find the area of the rectangle thus fo...
