Question

A railroad track follows a straight path from station A to station B. What is the distance travelled by the railroad track from station A to station B before completing its journey until station C? Distance travelled from station A to station C is 2x+3 and from station B to station C is 6x-1.

A. 4x-4 km
B. 4x+4 km
C. -4x-4 km
D. -4x+4 km

Answer 1

The distance traveled from station A to station B is found by subtracting the distance from B to C (6x-1) from the distance from A to C (2x+3), resulting in a distance of 4x+4 km.

Step-by-step explanation:

The question asks for the distance traveled by the railroad track from station A to station B. We have the following distances given: from station A to station C the distance is 2x+3, and from station B to station C it is 6x-1. To find the distance from A to B, we need to subtract the distance from B to C from the distance from A to C:

Distance A to B = Distance A to C - Distance B to C

Therefore:

Distance A to B = (2x + 3) - (6x - 1)

This simplifies to:

Distance A to B = -4x + 4

So, the answer is option B. 4x+4 km.