Question
12 children and 18 men complete an artwork in 9 days.
Each child takes twice as long as a man to finish the artwork. How many days will it take for 18 men to complete the same artwork?Solution
From the question, Capacity of 2 children = Capacity of 1 man. Let 18 men take x days to complete the artwork. M ₁D₁ = M2 D2 (12 children + 18 men) × 9 = 18 × x (6 men + 18 men) × 9 = 18 × x 24x9 =18x 24x9 = 18x x= 12 days
- The inner radius of a hollow cylindrical tank is 6 cm. If the height of the tank and the thickness of the walls are 25 cm and 3 cm, respectively, calculate...
The perimeter of a sector of a circle, whose radius is 17 cm, is 63 cm. If the length of a rectangle is 10 cm more than the arc subtended by the sector ...
Ratio of length to width of a rectangular field is 2:3. If the perimeter of the field is 380 metres, then find the area (in m2) of the field.
If the length and breadth of a rectangle are in the ratio 4:3 and its perimeter is 28 cm, then the area of the rectangle (in cm²) is :
Perimeter of a square and circumference of a circle are in the ratio 9:11, respectively. If area of the square is 81 cm2, then find the radiu...
In a two cylinders the ratio of the radius of the two cylinders is 2:3 and their heights are in the ratio 5:3, then what will be the ratio of their volu...
- The sides of a cuboid are in the ratio 1:2:4. If its volume is 1728 cm³, find the sum of its dimensions.
Four circles of equal radii are described about the four corners of a square so that each touches two of the other circles. If each side of the square i...
The perimeter of a square field is 12 cm more than the perimeter of a rectangle. The length of the rectangle is 40 cm which is 200% of its width. If a s...
- A cargo container has dimensions 25 metres in length, 12 metres in breadth and 10 metres in height. If each wooden crate occupies 100 m³, how many wooden ...