About word problems! Specifically, distance problems?

Speed=Distance/Time

Therefore, Distance=Speed x Time

Cynthia

Time=x

Speed=8.33m/s

Distance=8.33 x Time

=8.33x

Alberta

Time=x-2 ( because she finished the race 2 seconds faster)

Speed=10m/s

Distance=10(x-2)

Since both cover equal distances

8.33x=10(x-2)

Solving for x we get

x=20/1.67 seconds

Therefore distance will be :8.33 x 20/1.67=99.76047904191617

If 't' is the time taken by Alberta to run the distance, then t+2 is the time taken by Cynthia. But both have travelled same distance. Therefore

8.33*(t+2) = 10*t

or t = 8.33*2/(10-8.33)

There for distance = 10 * 8.33 * 2/ (10 - 8.33)

x = distance

Cynthia: x = 8.33t

Alberta is 2 seconds ahead thus if she runs the same distance her formula looks like: x = 10 (t-2)

8.33t = 10 (t-2) =>

t = 11.98 s

x = 8.33*11.98 = 99.8 m

Perimeter: P = 2W + 2L You know the perimeter (500) and the width (104), so you can easily solve for the missing dimension 500 = 2(104) + 2L

Sofia is correct. I get 99.7605 m

10k i think