On a trip, Powell travelled 40 mph for the first third of the distance and 50 mph for the remainder of the distance. If the whole trip took 4 hours and 20 minutes, how many miles did he travel?
I understand that in this question, we are searching for distance not rate or time.
I know that we need to use D = rt.
I need help setting up the equation for this distance question.
Once you've learned the background material, look this over:
. . .first part:
. . . . .distance: d/3
. . . . .rate: 40
. . . . .time: (d/3)/40 = d/120
. . .last part:
. . . . .distance: (2/3)d
. . . . .rate: 50
. . . . .time: [(2/3)d]/50 = d/75
Since the total distance is "d", then the distances covered during each of the two parts add up to "d".
Create the equation, and solve.