**Using Quadratic Formula to solve Quadratic Equations**

**Ncert Solutions Chapter 4 Quadratic Equations Exercise 4.3 Q8 Download this solution**

**8. A train travels 360 km at a uniform speed. If, the speed had been 5 km/hr more, it would have taken 1 hour less for the same journey. Find the speed of the train.**

**Solution:**

Let the speed of the train = x km/hr

If, speed had been 5km/hr more, train would have taken 1 hour less. So, according to this condition, we have

**Comparing equation** with general equation , we get

and

**Applying quadratic formula** to solve equation, we get

Speed of train cannot be in negative. Therefore, we discard

**Therefore, speed of train = 40 km/hr**