Question

In a race Amanda, Bernie, and Caroline are collinear with Bernie between Amanda and Caroline. Amanda is at mile marker 1.2, Caroline is at mile marker 3.4. The distance between Bernie and Caroline is 12 of the distance between Amanda and Caroline. What mile marker is Bernie at in the race?

a) Mile marker 2.2
b) Mile marker 2.4
c) Mile marker 2.6
d) Mile marker 2.8

Answer 1

Bernie is at mile marker 2.6 in the race.

Step-by-step explanation:

Given that Amanda is at mile marker 1.2 and Caroline is at mile marker 3.4, we need to find out the mile marker where Bernie is.

Let's say the distance between Bernie and Caroline is x.

According to the given information, the distance between Amanda and Caroline is 3.4 - 1.2 = 2.2.

Using the information that the distance between Bernie and Caroline is 12 times the distance between Amanda and Caroline, we can set up the equation:

x = 12 * (3.4 - 1.2)

Simplifying,

x = 12 * 2.2

x = 26.4

So, Bernie is at mile marker 1.2 + 26.4 = 27.6. However, given the options provided, the closest mile marker Bernie is at is Mile marker 2.6 (c).