A car runs first 275 km at an average speed of 50 km/h and the next 315 km at an average speed of 70 km/h. What is the average speed (in km/h) for the entire journey?

A mixture of milk and water contains 75% milk. If 8 liters of the mixture is taken out and 7 liters of milk is added, the ratio of milk to water becomes 7 : 2. Find the volume of the initial mixture.

Find the value of sec θ − tan θ, if sec θ + tan θ = $$ \sqrt { 5} $$

A merchant marked the price of an article by incresing its pro- duction cost by 40% .Now he al- lows 20% discount and gets a profit of Rs. 48 after selling it. The production cost is 

The volume of a cone is $${27720cm^2}$$. If the height of the cone is 20 cm, then what will be the area of the base?

The area of the triangle whose vertices are given by the coordinates (1, 2), (-4, -3) and (4, 1) is:

If 35% of A’s income is equal to 25% of B’s income, then the ratio of A’s income to B’s income is

In ΔABC, D and E are points on the sides AB and AC, respectively, such that DE || BC. If AD = 5 cm, DB = 9 cm, AE = 4 cm and BC = 15.4 cm, then the sum of the lengths of DE and EC (in cm) is: