# A bus takes 12 hours to travel the same distance that an airplane travels in 1.5 hours. The average speed of the airplane is 120 km/hour faster than five times the average speed of the bus. What is the average speed of the bus?

##### 1 Answer

Sep 5, 2015

The speeds are:

Bus: 40 km/h

Plane: 320 km/h

#### Explanation:

Let's start with the symbols:

Let

From the first sentence we can figure out, that:

The second sentence shows us the relation between

If we substitute

We multiply both sides by 12.

The distance is 480 km.

Now we can calculate both speeds: