Sisters Helen and Anne live 332 miles apart. For Thanksgiving, they met at their other sister's house partway between their homes. Helen drove 3.2 hours and Anne drove 2.8 hours. Helen's average speed was 10 miles per hour faster than Anne's. Find Helen's average speed and Anne's average speed.

Respuesta :

Answer:

Helen: 60mph and Anne: 50mph

Step-by-step explanation:

3.2r+2.8(r-10)=332 is the equation that we use, given the information we have.

We distribute and combine like terms and add 28 to both sides and divide by 6.

3.2r+2.8(r-10)=332

3.2r+2.8r-28=332

                6r=360

             6r/6=360/6

                  r=60  So, Helen's speed is 60mph.

Next, we'll solve Anne's speed.

r-10=50

60-10=50  So, Anne's speed is 50mph.