SOLUTION: bob drove from home to work at 50 miles per hour. After work traffic was heavier and he drove home at 45 miles per hour. His drive time to and from work wa 1 hour and 16 minutes.

Question 941459: bob drove from home to work at 50 miles per hour. After work traffic was heavier and he drove home at 45 miles per hour. His drive time to and from work wa 1 hour and 16 minutes. How far does bob live from work? solve
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
bob drove from home to work at 50 miles per hour.
After work traffic was heavier and he drove home at 45 miles per hour.
His drive time to and from work was 1 hour and 16 minutes.
How far does bob live from work? solve
:
let d = the distance one-way to and from work
change 1 hr 16 min to hrs. 1 + 16/60 = 1.267 hrs
:
Write a time equation; time = dist/speed
+ = 1.267
multiply equation by 450 to get rid of the denominators
450* + 450* = 1.267(450)
Cancel the denominators
9d + 10d = 570
19d = 570
d = 570/19
d = 30 miles to work
:
;
Confirm this by finding the the actual time eahc way
30/50 = .6
30/45 = .667
----------------
total = 1.267
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