Let the total distance covered by ‘A’ be ‘4x’ km Distance covered with speed of 15 km/hr = 0.5 × 4x = 2x km/hr Distance covered with speed of 5 km/hr = 0.5 × (4x – 2x) = ‘x’ km/hr ATQ, (2x/15) + (x/5) + (x/3) = 10 Or, {(2x + 3x + 5x)/15} = 10 Or, 10x = 150 Or, x = 150/10 = 15 Therefore, total distance covered by ‘A’ = 4x = 60 km
A and B invested ₹50,000 and ₹75,000, respectively, in a business. After 6 months, A withdrew ₹10,000, and B added ₹25,000. At the end of the ye...
A man allocates 12%, 18%, and 20% of his salary to his three children, P, Q, and R, respectively. The children spend 50%, 60%, and 56% of their received...
If sin A + cos A = 1, what is the value of tan A?
A sum of ₹10,000 is invested in two schemes A and B. Scheme A offers 10% per annum and scheme B offers 15% per annum. If the total interest earned aft...
If P is the amount invested at 5% p.a compounded half yearly for 2 years, what would be the amount received at the end of 2 years?
In a cyclic quadrilateral ABCD, where AB = 7 cm, BC = 8 cm, CD = 9 cm, and DA = 10 cm, find the length of the diagonal AC if the angle between AB and DA...
The ratio of the incomes of P, Q, and R is 3:5:6. If P’s income is increased by 25%, R’s income is increased by 15%, and Q’s income is reduced by ...
A sphere has a diameter of 10 cm. A cone with a height of 10 cm and a radius of 5 cm is removed from the sphere. What is the volume of the remaining solid?
The sum of the ages of a father and his son is 50 years. After 5 years, the father's age will be twice that of his son. What are their present ages?
The area of rhombus is 270m² and one of its diagonal is 18 m. Find the length of another diagonal.
