Our greatest weakness lies in giving up. The most certain way to succeed is always to try just one more time. – **Thomas A. Edison**

# Lecture - 5 Chapter 4 Quadratic Equations

00:00:42 NCERT Exercise 4.3 Question 7 The difference of squares of two numbers is 180. The square of the smaller number is 8 times the larger number. Find the two numbers.

00:07:02 NCERT Exercise 4.3 Question 8 A train travels 360 km at a uniform speed. If the speed had been 5 km/h more, it would have taken 1 hour less for the same journey. Find the speed of the train.

00:16:12 NCERT Exercise 4.3 Question 9 Two water taps together can fill a tank in 75/8 hours. The tap of larger diameter takes 10 hours less than the smaller one to fill the tank separately. Find the time in which each tap can separately fill the tank.

00:30:32 NCERT Exercise 4.3 Question 10 An express train takes 1 hour less than a passenger train to travel 132 km between Mysore and Bangalore (without taking into consideration the time they stop at intermediate stations). If the average speed of the express train is 11km/h more than that of the passenger train, find the average speed of the two trains.