Question
Karan, Arjun and Krunal alone can complete a work in 35,
70 and 60 days respectively. All of them started working together but after 3 days from start Karan left the job and after 5 more days Arjun also left the job. So for how many days did Krunal work?Solution
Let the total work = 420 units (LCM of 35, 70 and 60) Amount of work done by Karan alone in one day = 420/35 = 12 units Amount of work done by Arjun alone in one day = 420/70 = 6 units Amount of work done by Krunal alone in one day = 420/60 = 7 units Amount of work done by Karan, Arjun and Krunal together in 3 days = 3 × (12 + 6 + 7) = 75 units Amount of work done by Arjun and Krunal together in 5 days = 5 × (6 + 7) = 65 units Remaining work = 420 – 75 – 65 = 280 units So, the time taken by Krunal alone to complete 280 units work = 280/7 = 40 days So, Krunal worked for 40 + 5 + 3 = 48 days
Find the approximate volume of a right circular cone having diameter 14 cm and height 3cm.(Take pie = 3.14.)
Angle bisectors of Q and R meet at point S, inside the triangle PQR. If angle QSR = 132Ëš , then the measure of angle P is:
A circular pond is surrounded by a path 2 meters wide. The diameter of the pond is 28 meters. Find the cost of constructing the path at ₹140 per squar...
Axar purchased several cubical boxes at Rs. 12 each and placed them into a cuboidal box that perfectly fits these cubes. The curved surface area of the ...
The base of a triangle is 18 cm and height is 14 cm. The height of another triangle of double the area having the base 21 cm is:
The area of a square field is 4050 sq m. How long in seconds will a lady take to cross the field diagonally at the rate of 4.5 km/hr?
The sum of the perimeters of a square and a rectangle is 120 metres. If the sum of the length and breadth of the rectangle is 32 cm, then find the area ...
The ratio of the height of cylinder and cone is 14:27, and ratio of the radius is 6:7. The cylinder and cone are transformed into two cubes, respectivel...
In the figure given below, PQRS is a parallelogram in which PN and PM are perpendicular to QR and RS, respectively. If RS = 81 cm, PM = 42 cm and PN = 5...
The lateral surface area of a cube is 100 cm2Â . The length of a cuboid is 40% more than the side of the cube. The breadth of the cuboid is 6...