SOLUTION: Vera walked to a friends house at a rate of 3 miles per hour. Then they rode to work at a rate of 30 mph. The total time it took vera to get to work was 50 min. The total distan

Algebra.Com
Question 670787: Vera walked to a friends house at a rate of 3 miles per hour. Then they rode to work at a rate of 30 mph. The total time it took vera to get to work was 50 min. The total distance Vera traveled is 16 miles. How many miles did Vera walk and how many did she drive?
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
Let = distance that Vera walked
Let = time Vera spent walking
--------
given:
Walking:
(1)
Driving:
(2)
-----------------------------
(2)
(2)
Substitute (1) into (2)
(2)
(2)
(2)
--------------
(1)
(1)


----------------
She walked 1 mi and drove 15 mi
check:
(2)
(2)
(2)
(2)
(2)
OK

RELATED QUESTIONS

Vera walked from her home to a friend's home at a rate of 3 miles per hour. She rode to... (answered by stanbon)
Two friends live 30 miles apart. One day, they decide to run to each other's house.... (answered by richwmiller)
Tyson often rides his bike 8 miles to visit a friend. His speed varies inversely with... (answered by Mathtut)
Jodi and her friend Marcos decided to meet at the park since it was exactly 1 mile from... (answered by richwmiller)
Mike drove to a friends house at a rate of 40 miles mph. The return trip he traveled at a (answered by josmiceli,Alan3354)
Mickey and Minnie left Minnie's house d went for a leisurely bike ride traveling at a... (answered by nahjaeo)
Ava rode her bike from her house to her friends house averaging 16 km per hour. It turned (answered by Theo,MathTherapy)
Demarco walks from his house to his friend's house at a constant rate of 5 miles per... (answered by josmiceli)
John was on a 10 mike track, he walked at a rate of 3 mph then rode the rest on his bike... (answered by lwsshak3)