SOLUTION: Cindy walked to work at an average speed of 6 miles an hour and biked back along the same route at 10 miles per hour. If her total traveling time was 2 hours, how long is the dista

Question 637066: Cindy walked to work at an average speed of 6 miles an hour and biked back along the same route at 10 miles per hour. If her total traveling time was 2 hours, how long is the distance from her house to work?
Answer by checkley79(3341) (Show Source): You can put this solution on YOUR website!
D=RT
D=6T
D=10(2-T)
6T=10(2-T)
6T=20-10T
6T+10T=20
16T=20
T=20/16
T=1.25 HOURS FOR THE 6 MPH TRIP.
6*1.25=10(2-1.25)
7.5=10*.75
7.5=7.5 MILES FROM HOME TO WORK.
PROOF:
6*1.25=7.5
10(2-1.25)=10*.75=7.5
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