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Let the total number of units of work =108 A and B can do in 18 hours so 108/18 =6 units each hour they both can do 6 units For 6 hours they both worked and so 36 units is done so 108-36=72 units of work is done by B alone in 36 hours I.e 72/36 = 2 units per day Therefore a+b=6 a=6-2 a=4 units per day If A worked alone then 108/4 =27 hours
If an arc subtends an angle of 90o at the centre of the circle whose radius is 28 cm, then find the area of that sector. [Take π = 22/7]
Consider a circle and a square whose circumference ratio is 11:8. If the sum of the circle's radius and the length of one side of the square equals 30 c...
The ratio of length to breadth to height of a cuboidal box is 6:5:4. If the total surface area of the cuboid is 1,392 cm², then ...
The diameter and the slant height of a conical tent are 16 m and 5.6 m, respectively. What length of cloth having width 4m is needed to make the tent?
In a rectangular floor of length and breadth of 16 metres and 7 metres, respectively, square tiles each of 4 metre edge length are to be laid. If the co...
Calculate the volume of a square prism with a perimeter of 16 cm at the base and a height of 6 cm.
The area of a square is 441 square centimeters whose side is half the radius of a circle The circumference of a circle is equal to the width of a rectan...
If the volume of a sphere is 500 cm³, then find the surface area of the sphere. [Take π = 3]
The common ratio of a geometric sequence is 3 and the 4th term is 9. What is the first term of the sequence?
A pyramid has a square base with a height of 12 cm. Each of the pyramid's faces is an equilateral triangle, and the area of each face is 64√3 cm². Fi...