SOLUTION: An automobile averaged 45 mph for the first part of a trip and 50 mph for the second part. If the entire trip took 4hr and covered 195 mi, for how long was the rate 45 mph?
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Question 276144: An automobile averaged 45 mph for the first part of a trip and 50 mph for the second part. If the entire trip took 4hr and covered 195 mi, for how long was the rate 45 mph? Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! An automobile averaged 45 mph for the first part of a trip and 50 mph for the second part.
If the entire trip took 4hr and covered 195 mi, for how long was the rate 45 mph?
:
Let x = time at 45 mph
then
(4-x) = time at 50 mph
:
Write a distance equation: dist = speed * time
:
45mph dist + 50 mph dist = 195 mi
45x + 50(4-x) = 195
:
45x + 200 - 50x = 195
:
45x - 50x = 195 - 200
:
-5x = -5
:
x = 1 hr at 45 mph
:
Check solution (3hr at 50mph)
45(1) + 50(3) = 195
