Question
Peter and Rachel can complete a project together in 20
days. Peter takes four times as long as Rachel to complete the same project alone. Find the time taken by Rachel to complete the project alone.Solution
ATQ, Let Rachel's time to complete the project alone be 'r' days. Therefore, Peter's time is '4r' days. Their combined work rate is (1/r) + (1/4r) = (1/20). 
Rachel can complete the project alone in 25 days.
A rectangular playground is fenced at Rs. 11/metre and the total cost is Rs. 1210. If the length to breadth ratio is 6:5, find the area of the playground.
In an equilateral triangle ABC, D is the midpoint of side BC. If the length of BC is 8 cm, then the height of the triangle is:
A candidate just passed by getting 150 answers correct by attempting 225 of the total questions. Find the total number of questions in the examination i...
A metallic sphere of radius 4.2 cms. Is melted and recast into the shape of a cylinder of radius 6 cms. Height of the resultant cylinder would be:
If the total surface area of a cube is 486 cm², then calculate the volume of the cube.
A cone is parallel to its base in such a way that the volume of the smaller cone is  1/2197 times of the bigger cone. Find the height of the smaller co...
A cuboidal box with dimensions 12.5 cm (length), 7.5 cm (breadth), and 10 cm (height) is open from the top. The box is to be painted from the outside. I...
A conical tent of height 5m and base diameter 24m was erected by a company in a park. Find the curved surface area of the tent (in m²).
The volume of a cube is given as 8×(x+3)3 m3. The length of a rectangle is twice the side length of the cu...
If the volume of a cylinder is 486Ï€ and the ratio of radius to its height is 3:2 then find the curved surface area of cylinder?
Relevant for Exams:
