Question
The efficiency of P, Q, R, S are in the ratio of
6:5:4:3. If P and R can do a work together in 6 days. Then How many days Q and S will take to complete the same work?Solution
Efficiency of (P+R) = (6+4) = 10 Days taken by (P + R) together to complete the work = 6 days Efficiency of (Q + S) = (5+3) = 8 So, Q and S will take time = (Total days of (P + R) × Total Efficiency of (P + R)) / (Total Efficiency of (Q + S)) = (6 ×10)/8 = 60/8 = 7(1/2) days
- Eight identical cubes of edge 4 cm are joined end to end. Calculate the total surface area of the solid formed.
A rectangular field has a perimeter of 82 meters, and the length of its diagonal measures 29 meters. Determine the area of the field.
A well with 30 metre inner diameter is dug 6 m deep. Earth taken out of it, has been evenly spread all around it to a width of 15 m to form an embankmen...
Three cubes of metal whose edge are 6cm, 8cm and 10cm. respectively are melted and a single cube is formed. What is the length of the edge of the newly...
A cuboidal box has a length of 15 cm, a width of 12 cm, and a height of 10 cm. A cylindrical hole of radius 3 cm and height equal to the cuboid is drill...
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.
A cylinder of radius 7 cm is surmounted completely by a cone of same radius. Height of cylinder is 6 cm. Find the height of cone if volume of entire sha...
A hemisphere has a total surface area of 604.8 cm². Calculate the volume of a sphere that has the same radius as the given hemisphere. (Take π = 3.15)...
- A metal sphere with radius 17.5 cm is melted and molded into small cuboids each of size 7 cm × 5 cm × 5 cm. Determine the number of cuboids formed.
Length and breadth of a rectangular field is (x + 6) cm and (x – 3) cm, respectively. If the cost of ploughing the field at a rate of Rs. 10 per cm² ...
