SOLUTION: a woman drove part of a 185 mi trip at 50 mi/h and the rest at 55 mi/h. Find the distance she traveled at 50 mi/h if her total driving was 3 hours and 30 min

Question 347403: a woman drove part of a 185 mi trip at 50 mi/h and the rest at 55 mi/h. Find the distance she traveled at 50 mi/h if her total driving was 3 hours and 30 min
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
a woman drove part of a 185 mi trip at 50 mi/h and the rest at 55 mi/h.
Find the distance she traveled at 50 mi/h if her total driving was 3 hours and 30 min
:
Change 3 hr 30 min to 3.5 hrs
:
Let d = distance at 55 mph
then
(185-d) = distance at 50 mph
:
Write a time equation; time = dist/speed
:
Time at 55 mph + time at 50 mph = 3.5 hrs
+ = 3.5
:
multiply by 550 to get rid of the denominators
10d + 11(185-d) = 550(3.5)
10d + 2035 - 11d = 1925
10d - 11d = 1925 - 2035
-1d = -110
d = 110 mi at 55 mph
then
185 - 110 = 75 mi at 50 mph
:
:
Check this by finding the actual times at each speed
110/55 = 2.0 hr
75/50 = 1.5 hr
------------------
total time 3.5 hrs
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