Question
A alone can complete 50% of a work in 10 days while B
takes 8 days more than A to complete it. If B and C together can complete the work in 12 days, then find the time taken by C alone to complete the same work.Solution
Time taken by A alone to complete the entire work = 10/0.5 = 20 days Time taken by B alone to complete the entire work = 20 + 10 = 30 days Let the total work = L.C.M of 20, 30 and 12 = 420 units Then, efficiency of B = (420/28) = 15 units/day Combined efficiency of B and C = (420/12) = 35 units/day So, efficiency of C alone = 35 – 15 = 20 units/day So, time taken by C alone to complete the entire work = (420/20) = 21 days
The monthly salary of a person was Rs 50,000. He used to spend on three heads- personal and family expenses (E), taxes (T), philanthropy (P), and rest ...
The volume of a hemisphere is 2425 (1/ 2) cm3 . Find its radius (Take p = 22/7)
The outer diameter of a hollow cylindrical brass rod is 9.1 cm. The rod is 35mm thick and is 40cm long. If the weight of 1 cubic centimeter of brass rod...
- A hall is in the shape of a rectangle with a length of 30 metres and its perimeter is 90 metres. If the hall is to be tiled at Rs.10 per square metre, calc...
A square playground measure 1127.6164 meter2. If a man walks (49/20) m a minute, the time taken by him to walk one round around is approximat...
The length of a rectangle is four times its breadth. If its length is increased by 10 cm. and breadth is increased by 10 cm, the area of the rectangle i...
The area of four walls of a room is 112 cm2. If the length and breadth of the room were equal and the height of the room is 4 cm, then what i...
The total area of a circle and a square is 5450 cm2; the diameter of the circle is 70 cm, what is the difference between the circumference of...
The cost of fencing a rectangular field at the rate of Rs. 4/metre is Rs. 360. If the length of the field is 13 metres more than its breadth, then find ...
An army of 2100 men has provision for 50 days. After 10 days due to injuries some of them left and the food were now enough for next 50 days for remaini...