# Two Train speeds?

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Two trains stations, A and B, are 300km apart. Two trains leave A and B simultaneously and proceed at constant speeds to other station. The train from A reaches station B nine hours after trains have met, and the train from B reaches the station A four hours after the trains have met. Find the speed of each train?

Two trains stations, A and B, are 300km apart. Two trains leave A and B simultaneously and proceed at constant speeds to other station. The train from A reaches station B nine hours after trains have met, and the train from B reaches the station A four hours after the trains have met. Find the speed of each train?

##### 1 Answer

#### Answer:

One solution is

#### Explanation:

Let the speeds of the train be

The time taken by train

The time taken by train

Let the meeting point be

The time taken by train

The time taken by train

Then

and

Solving equations

This is a Diophantine equation

One solution is

graph{(9x+4y-300)=0 [-104.4, 106.45, -27.4, 78.1]}