# A girl goes to her friend's house, which is at a distance of 12 km. She covers half of the distance at a speed of x km/hr. and the remaining distance at a speed of (x+2)km/hr. If she takes 2 hrs 30 minutes to cover the whole distance, find "x" ?

##### 1 Answer

#### Explanation:

This is simple equation problem.

The velocity for half the distance =

So, Time taken to cross the first half =

The velocity for the other half =

So, Time taken to cross the rest =

And,

So, On with the equation.

Now, Use The **Sridhar Acharya's Rule** or **Quadratic Formula** to solve this.

And, Don't forget to check the **Discriminant** first.

So, Definitely There are two real solutions for

Now first solution for

Now, The second solution for

=

So,

But speed can't be negative in any circumstances as distance travelled can't be negative.

So,