In this page quadratic equation practical solution10 we are going to see solution of practice question of the worksheet quadratic equation practical application.

**Question 10:**

Two trains leave railway stations at the same time. The first train travels due west and the second train due north. The first travels 5 km/hr faster than the second train. If after two hours, they are 50 km apart, find the average speed of each train.

**Solution:**

Let X km/hr be the speed of second train.

So sped of first train will be (x + 5) km/hr

Distance covered by the first train in 2 hours = 2(x + 5)

Distance covered by the second train in 2 hours = 2x

By using Pythagoras theorem

[2(x+5)]² + (2x) ² = 502

[2x+10]² + (2x) ² = 502

[4x²+100 + 2 (2x) (10) ] + 4x 2 = 2500

8 x² + 40 x + 100 – 2500 = 0

8 x² + 40 x – 2400 = 0

Now we are going to divide the whole equation by 8

x² + 5 x – 300 = 0

(x + 20) (x -15) = 0

x + 20 = 0 x – 15 = 0

x = -20 x = 15

Therefore speed of the second train is 15 km/hr

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Math is not only solving problems and finding solutions and it is also doing many things in our day to day life. They are:

It subtracts sadness and adds happiness in our life.

It divides sorrow and multiplies forgiveness and love.

Some people would not be able accept that the subject Math is easy to understand. That is because; they are unable to realize how the life is complicated. The problems in the subject Math are easier to solve than the problems in our real life. When we people are able to solve all the problems in the complicated life, why can we not solve the simple math problems?

Many people think that the subject math is always complicated and it exists to make things from simple to complicate. But the real existence of the subject math is to make things from complicate to simple.”