Question 269887
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