Question
A can complete 25% of work in five days. And this takes
four days more than B to complete the whole work. They started the work together but after X days A left and C was 50% as efficient as a joined B and completed the whole work with him. If the total work got completed in 2X days, then find the value of X.Solution
Time taken by A to complete the whole work alone = 20 days. time taken by B To complete the whole work alone = 20-4 = 16 days Let total work = 80 unit (LCM of 20 and 16) Efficiency of A= 80/20 = 4 units/day Efficiency of B = 80/ 16 = 5 Units/day. Efficiency of C = 0.5*4 =Â 2 units/ day Also B&C together worked for= X days. (4+5)*x+(5+2)*x = 80 16x=80 X=5 Therefore efficiency of D,= (X + 11)= 16 units / day Required. Time taken. = 80/16 = 5 days
- The base of a right pyramid is an equilateral triangle with side 12 cm. If the height of the pyramid is 40√3 cm, calculate the volume of the pyramid.
In triangle ABC, the difference between angle A and angle B is 16°, and the difference between angle A and angle C is 8°. Determine the measure of an...
If area of similar triangles ∆ ABC and ∆ DEF be 64 sq Cm and 121 sq cm and EF = 15.4 cm then BC equals
Find the length of AB, if ΔABC ~ ΔRQP and AC = 22.5 cm, RP = 9 cm and RQ = 6 cm.
The angles of a triangle are in the ratio 4:5:3. Determine the sum of the smallest and largest angles of the triangle.
If the angles of a triangle are in the ratio of 2:5:8, then find the value of the biggest angle.
Find the area of a triangle whose sides are 12 m, 14 m, and 16 m.
In a right-angled triangle, the legs are in the ratio 3:4, and the hypotenuse is 25 cm. Find the perimeter of the triangle.
- A triangle has a base of 27.3 cm and the height is 11.4 cm. Find its area.
ABC is an equilateral triangle with sides of 24cm. Find the difference between its in-radius and circum-radius.
Relevant for Exams:
