Question

Lexi runs a race at school. She runs at a rate of 4 miles per hour for the first mile, then increases her rate to 5 miles per hour until the last mile when she runs 6 miles per hour. Which equation below represents her time, T. In hours, If she runs a total of x miles

Answer 1

The equation that represents Lexi's time, T, in hours, if she runs a total of x miles, is T = 1/4 + (x-2)/5 + 1/6. This equation breaks down the time taken for each segment of the race at different speeds.

Step-by-step explanation:

The equation that represents Lexi's time, T, in hours, if she runs a total of x miles, is:

T = 1/4 + (x-2)/5 + 1/6

Let's break down the equation:

1. For the first mile, Lexi runs at a rate of 4 miles per hour, so it takes her 1/4 hours (or 15 minutes).
2. For the remaining x-2 miles, Lexi runs at a rate of 5 miles per hour, so it takes her (x-2)/5 hours.
3. For the last mile, Lexi runs at a rate of 6 miles per hour, so it takes her 1/6 hours (or 10 minutes).

By adding up the times for each segment, we get the equation T = 1/4 + (x-2)/5 + 1/6.