Question
'Asmita,' who is three times as efficient as 'Bittu,'
can complete a task on her own in 15 days. 'Asmita' and 'Bittu' began working together, but after 3 days, 'Asmita' departed, and 'Chinky,' who is 25% less efficient than 'Bittu,' took over. 'Bittu' left the job 2 days before its completion, and 'Chinky' completed the remaining work alone. Determine the number of days 'Bittu' and 'Chinky' worked together.Solution
ATQ, Since, ‘Asmita’ is thrice as efficient as ‘Bhanu’. Therefore, time taken by ‘Bhanu’ to complete the whole work alone = 3 × 15 = 45 days Let total amount of work = 45 units {LCM of 15 and 45} Efficiency of ‘Asmita’ = 45/15 = 3 units/day Efficiency of ‘Bhanu’ = 45/45 = 1 unit/day Efficiency of ‘Chinky’ = 0.75 units/day Amount of work completed by ‘Asmita’ and ‘Bhanu’ together in the first 3 days = 3 × (1 + 3) = 12 units Amount of work completed by ‘Chinky’ alone in 2 days = 2 × 0.75 = 1.5 units Remaining work = 45 – 12 – 1.5 = 31.5 units Therefore, time taken for which ‘Bhanu’ and ‘Chinky’ worked together = {31.5/(1 + 0.75)} = 18 days
Water flows at the rate of 10 meter per minute from a cylindrical pipe 5mm in diameter. How long it takes to fill up a conical vessel whose diameter at ...
Calculate the area of a circular field whose circumference is equal to the perimeter of a rectangular field with a length of 60 m and a breadth of 45 m....
The area of a rectangle is 5/7 that of a square. The length of the rectangle is 20 cm and the breadth of the rectangle is 3/2 times that of the side of ...
The volume of a cube is 512 cm³. If the cost of painting the cube is Rs. 6 per cm², then find the cost of painting five faces of the cube.
The circumference of a circle is equal to the perimeter of a rectangle whose length and breadth are in ratio 9:7, respectively. If the area of the recta...
A rectangular piece of copper foil of length 21 cm and area 1386 cm2 is folded along its width to form a cylinder such that there is only one...
If the volume and radius of a cylinder is 7700 cm3 and 14 cm respectively then find the height of the cylinder?
The perimeter of a floor a room is 36m. What is the area of four walls of the room, if its height is 6m?
The ratio of the length of a rectangle, breadth of the rectangle and the diameter of a circle is 11:10:7. If the area of the circle is 616 cm2
A hemispherical bowl with an internal radius of 15 cm is full of liquid. This liquid will be filled in cylindrical bottles with a radius of 5 cm and a h...
Relevant for Exams:
