Le 5
try it! solve work and time problems
5. latanya leaves her house at 12: 30 p. m. and bikes at 12 mi/h to marta's house.
she stays at marta's house for 90 min. both girls walk back to latanya's
house at 2.5 mi/h. they arrive at latanya's house at 3: 30 p. m. how far is
marta's house from latanya's house?

3.103 miles

Step-by-step explanation:

We know D = RT, where

D is distance

R is rate

T is time

Let distance of Latanya and Marta's house be "x".

THe first leg, the distance is x and rate is 12, so the time it takes is:

D = RT

T = D/R

T = x/12

Second leg is just staying in marta's house for 90 minutes, which is 1.5 hours

Third leg is when they cover same distance , x, but rate is 2.5, so time is:

T = D/R

T = x/2.5

Since the whole journey took 3 hours (12.30 - 3.30), we can simmply add them and equate to 3 and solve for x:

THus, the distance is 3.103 miles