SOLUTION: Yoko drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 7 hours. When Yoko drove home, there was no traffic and the trip only took 4 h

Question 969368: Yoko drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 7 hours. When Yoko drove home, there was no traffic and the trip only took 4 hours. If her average rate was 27 miles per hour faster on the trip home, how far away does Yoko live from the mountains?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Yoko drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 7 hours. When Yoko drove home, there was no traffic and the trip only took 4 hours. If her average rate was 27 miles per hour faster on the trip home, how far away does Yoko live from the mountains?
----------------------------
To mountains DATA:
time = 7 hrs ; distance = x miles ; rate = d/t = x/7 mph
----------------
From mountains DATA:
time = 4 hrs ; distance = x miles ; rate = d/t = x/4 mph
------
Equation:
rate - rate = 27
x/4 - x/7 = 27
7x - 4x = 28*27
----
3x = 28*27
x = 28*9
----
Ans:: distance = 252 miles
-----------------------
Cheers,
Stan H.
--------------
RELATED QUESTIONS
Rafael drove to the mountains last weekend. There was heavy traffic on the way there, and (answered by richwmiller)

Alice drove to the mountains last weekend. There was heavy traffic on the way there, and... (answered by josgarithmetic)

Henry drove to the mountains last weekend. There was heavy traffic on the way there, and... (answered by stanbon)

Milan drove to the mountains last weekend. There was heavy traffic on the way there, and... (answered by josgarithmetic)

Chang drove to the mountains last weekend. There was heavy traffic on the way there, and... (answered by josgarithmetic,MathTherapy)

Elsa drove to the mountains last weekend. There was heavy traffic on the way there, and... (answered by ankor@dixie-net.com)

Boris drove to the mountains last weekend. There was heavy traffic on the way there, and... (answered by josmiceli,josgarithmetic,MathTherapy)

Martina drove to the mountains last weekend. There was heavy traffic on the way there,... (answered by ikleyn,josgarithmetic,MathTherapy)

Scott drove to the mountains last weekend. There was heavy traffic on the way there, and... (answered by josgarithmetic,MathTherapy)