SOLUTION: A woman goes to work and has an average speed of 45 mph. She takes the same route home and has an average speed of 30 mph. Her commute to and from work took an hour. How many miles

Question 436659: A woman goes to work and has an average speed of 45 mph. She takes the same route home and has an average speed of 30 mph. Her commute to and from work took an hour. How many miles does she travel to work?

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A woman goes to work and has an average speed of 45 mph. She takes the same route home and has an average speed of 30 mph. Her commute to and from work took an hour. How many miles does she travel to work?
---------------------------------
To-work DATA:
rate = 45 mph ; distance = x miles ; time = x/45 hrs
-------------------
From-work DATA:
rate = 30 mph ; distance = x miles ; time = x/30 hrs
--------------------
Time + time = 1 hr
x/45 + x/30 = 1
(30x+45x)/30*45 = 1
---
75x = 30*45
x = 30*(9/15)
x = 18
miles (distance to work)
============================
Cheers,
Stan H.
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