Question

Marsha and Tamara are running a race. Marcia has run 4 kilometers. Tamara has completed 3/4 of the race and is 2.5 kilometers ahead of Marcia. Write and solve an equation to determine where Tamara is in the race. Let k represent the total length of the race in kilometers.

Answer 1

Answer:

T = 2.5 + M is the equation to determine where Tamara is in the race , where T denotes distance covered by Tamara and M denotes covered by Marcia.

Total length of race is 8.67 kilometers and Tamara is at 6.5 kilometers in  the race.

Step-by-step explanation:

Given : Marsha and Tamara are running a race. Marcia has run 4 kilometers. Tamara has completed $\frac{3}{4}$ of the race and is 2.5 kilometers ahead of Marcia.

We have to find where Tamara is in the race.

Let k represent the total length of the race in kilometers.

Marcia has run 4 kilometers.

ans Tamara is 2.5 kilometers ahead of Marcia.

Let T denotes distance covered by Tamara and M denotes covered by Marcia.

Mathematically written as,

T = 2.5 + M = 2.5 + 4 = 6.5 Kilometers.

Also , given,

Tamara has completed $\frac{3}{4}$ of the race.

that is $\frac{3}{4}\times k=6.5$

Solve for k , we get,

$\frac{3}{4} k=6.5\times \frac{4}{3}=8.67$ kilometers.

Thus, total length of race is 8.67 kilometers and Tamara is at 6.5 kilometers in  the race.