Work Word Problem Notes.notebook
October 18, 2016
Warm Up:
1) Do you know of a formula that
relates rate, distance and time ?
2) Would you travel faster
upstream or downstream?
Word Problems with Rates
1. A train travels 30 miles per hour faster than a car. If the train covers 120
miles in the same time the car covers 80 miles, find the average rate (speed) for each.
D
D = R T
Define Variables
train:
car:
T=
R
Work Word Problem Notes.notebook
October 18, 2016
2. The speed of a boat in still water is 20 miles per hour. It takes the same amount of time for the boat to travel 3 miles downstream (with the current) as it does to travel 2 miles upstream (against the current). Find the speed of the current.
Define Variables
D = R T
T=
c =
D
R
downstream:
upstream:
3. The speed of the current in a river is 5 miles per hour. A boat can travel 9 miles downstream (with the current) in the same amount of time as it takes to travel 4 miles upstream (against the current). Find the speed of the boat.
Define Variables
b =
downstream:
upstream:
D = R T
T=
D
R
Work Word Problem Notes.notebook
4. You commute to work a distance of 40 miles and return on the same route at the end of the day. Because you hit more traffic on your way to work, your average rate on the return trip is 30 miles per hour faster than your average rate on the outgoing trip. If the round trip takes 2 hours, what is your average rate on the outgoing trip to work?
work to home:
(downstream)
home to work:
(upstream)
October 18, 2016