Question
Pipe A and B can fill the pool in 15 minutes and 20
minutes, respectively. Pipe C can empty half filled pool in 6 minutes. If all the pipes are opened together, then find the time taken to fill the empty pool completelySolution
Time taken by pipe C to empty the full pool = 6 × 2 = 12 minutes Let the capacity of pool = 60 units Number of units of water filled by pipe A alone in one minute = 60/15 = 4 units Number of units of water filled by pipe B alone in one minute = 60/20 = 3 units Number of units of water emptied by pipe C alone in one minute = 60/12 = 5 units Required time taken = 60/(4 + 3 – 5) = 30 minutes
A rectangular park is 30 m long and 20 m wide. A path of uniform width 2 m is built inside along its boundary. Find the area of the path.
If the side of square and its area is in the ratio of 1:9 then find its perimeter?
- Eight identical cubes of edge 4 cm are joined end to end. Calculate the total surface area of the solid formed.
A solid sphere has a radius of 7 cm. A hemisphere is removed from the sphere. What is the volume of the remaining part of the sphere?
The length and breadth of a rectangular field are increased by 25% and 45%, respectively. If the original dimensions of the field are 60 m in length and...
What will be the volume of a cuboid if its length is 17.5 cm, width is 10 cm, and height is 20 cm?
A wire is bent to form a square whose sides are of 55 cm. If the same wire is bent to form a circle, then find the area (in cm2) of the circl...
A rectangular lawn 35m x 40m has two roads each 4metres wide, running in the middle of it, one parallel to the length and the other parallel to the brea...
If perpendicular and base of a right-angle triangle are 24 cm and 32 cm respectively, then find the length of the shortest median of triangle.
Relevant for Exams:
