SOLUTION: I have been trying to figure out this problem for an hour now I cannot get the answer the book gives me in the back. I found the problem here on your site already but the answers a

Question 269887: I have been trying to figure out this problem for an hour now I cannot get the answer the book gives me in the back. I found the problem here on your site already but the answers are not the same as the back of my book either.
This is the link to the problem on your site, http://www.algebra.com/algebra/homework/word/travel/Travel_Word_Problems.faq.question.164399.html
The problem is the same as in my book but the answers in the back say it should be : 2 hr at 50 mph and 3 hr at 40 mph.
I am so lost!
Answer by drk(1908) (Show Source): You can put this solution on YOUR website!
here is the original; problem
"a bus is traveling at 50 mph then reduces its speed to 40 mph. the 220 mi. trip takes 5 hrs. how long does it travel at each speed? show equation."
This is an RTD problem. Here is a table based on the given information.
bus . . . . . . . . .rate . . . . . . . . .time . . . . . . . . . distance
. . . . . . . . . . . . 50 . . . . . . . . . . t . . . . . . . . . . . . .50t
. . . . . . . . . . . . 40. . . . . . . . . 5 - t . . . . . . . . . . . 200 - 40t
. . . . . . . . . . . . . . . . . . . . . . . .5. . . . . . . . . . . . . .220
from column 3 we get
50t + 200 - 40t = 220
combine like terms and we get
10t + 200 = 220
subtract to get
10t = 20
t = 2
5 - t = 3
50 mph for 2 hours
40 mph for 3 hours
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