Question

A train station is between the towns Antville and Bugville. The station is four times as far from Bugville as it is from Antville. If the distance from Antville to Bugville is 95 km, how far is it from Antville to the station?

Answer 1

The distance from Antville to the train station is 19 km.

Step-by-step explanation:

To find the distance from Antville to the train station, let's first represent the distance from Antville to the train station as 'x'.

We are given that the distance from Antville to Bugville is 95 km, and the train station is four times as far from Bugville as it is from Antville.

This means the distance from the train station to Bugville is 4 times 'x'.

Since the total distance from Antville to the train station and then to Bugville is 95 km, we can set up the equation: x + (4x) = 95.

Combining like terms, we get 5x = 95. To solve for x, we divide both sides of the equation by 5: x = 19.

Therefore, the distance from Antville to the train station is 19 km.