P can complete a piece of work in thrice the time taken to complete Q and R together. If P and Q together can complete the work in 9 3/5 days and R alone complete in 16 days, then find the no of days taken to complete the work by P alone?

The sum of ages of mother and son is 47 years. Before 10 years, the product of their ages is 50. The difference between the ages of mother and a son is –

The area of a rhombus is 144 square units. The length of one of its diagonals is twice the length of other diagonal. What is the sum of length of its diagonals?

'G' is centroid of ΔABC if AG = BC then find ∠BGC.

If one of the equal angles of an isosceles triangle is 65°, then the angle at the vertex is

The angle of elevation of the top of a tower from the top of a building whose height is 680 m is 45° and the angle of elevation of the top of same tower from the foot of the same building is 60°. What is the height (in m) of the tower?

Aman and Raman together can complete a work in 30 days, Raman and Manan can complete the same work in 36 days and Manan and Aman can complete the same work in 45 days. In how many days can all three together complete the work?

If the ratio of the heights of two identical triangles is 4: 9, find the ratio of the areas of the two triangles.