8_5 _day 2_ current_ headwind TROUT 09
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Transcript 8_5 _day 2_ current_ headwind TROUT 09
Warm up # 28
1. How many more days until winter break?
1.)
30t
46t
30t 72 46t t 4.5 hours
Page 383, 1 - 6
d 72 t +3
d 120 t
Let t = hours after fast train leaves
72 t 3 120t
72t 216 120t
216 48t
t 4.5 hours
Page 383, 1 - 6
Correct Homework
• Page 384 (4,5,6,9,10,13,14)
44t
55t
44t 55t 297
3 hours
Page 383, #4
32t
69 miles
47t
32t 69 47t
69 15t
69
t
4.6 hours
15
Page 383, #5
192 t + 2
960 t
Let t = hours after the JET leaves
192 t 2 960t
192t 384 960t
384 768t
1
t hour
2
Page 383, #6
d 96 t4
384km
d 64 t +2
96t 64 t 2
96t 64t 128
32t 128
t4
P.383, #9
Page 385 #10
It takes a small jet plane 4 hours less time
than it takes a propeller-driven plane to
travel from Glen Rock to Oakville. The jet
plane averages 637 km/h while the
propeller plane averages 273 km/h. How
far is it from Glen Rock to Oakville?
Let t = time it takes the prop plane to make the trip
d r637t - 4
d r273t
637t 2548 273t
364t 2548
t=7
d = 1911 km
A motorcycle breaks down and the rider
has to walk the rest of the way to work.
Motorcycle was traveling at 45 mi/h, and he walks at 6 mi/h.
The distance from home to work is 25 miles, and the
total trip took 2 hours.
d
45
r
t
25-d
d 6r
t2-t
25 miles
Let d = distance on motorcycle
Let t = hours on motorcycle
25 d 12 6t
1
d 45 15 miles
3
1 25 45t 12 6t
t
13
39t
3
Page 385 #13
Page 385 #14
A student walks and jogs to college each day.
The student averages 5 km/h walking and 9
km/h jogging. The distance from home to college
is 8 km and the trip takes one hour. How far
does he jog? Let x = distance jog
8-x
d
r5
Let y = hours jog
t1-y
walk
8 x 5 1 y
8 9y 5 5y
3 4 y 0.75 y
xd
r 9
jog
t y
x 9y
x 9 .75
x = 6.75 km
Page 385 #14
A student walks and jogs to college each day.
The student averages 5 km/h walking and 9
km/h jogging. The distance from home to college
is 8 km and the trip takes one hour. How far
does he jog?
8 – x = 5(1 – y)
x = 9y
Let x = distance jog
x = 6.75 km
Let y = hours walk
Distance =
(Rate)
(Time)
Walking
8 - x
5
1 - y
Jogging
x
9
y
total
8
1
Tailwind & Up Stream Problems in
8.5
The tailwind and current problems affect the
rate.
How fast is the
canoe going?
Distance to tree = 12 Km
3 hours
d r t 12 r 3
Pattern
• Tailwind and current problems talk about
going to a location and coming home. The
distance will be the same and we will set the
distances equal to each other
A motorboat took 3 hours to make a downstream trip
with a current of 6km/h.
The return trip against the same current took 5 hours.
r
=
Find the speed of the boat in still water.
d r +6
t3
d r- 6
t5
3 r 6 5 r 6
3r 18 5r 30
48 2r
r 24 km/h
An airplane flew for 5 hours with a tailwind of 25
km/h.
The return trip against the same wind took 6 hours.
r
=
Find the speed of the airplane in still air.
d r +25 t5
d r -25 t6
5 r 25 6 r 25
5r 125 6r 150
275 r
r 275 km/h
3 r - 6
2 r + 6
3 r 6 2 r 6
3r 18 2r 12
r 30
=r
=r
3 r 40
4 r 40
3r 120 4r 160
280 r
r 280 km/hr
6 r 60 8 r 60
6r 360 8r 480
840 2r
r 420 km/hr
=r
6 km
4
4 r 3 t
t
distance ratetime
r 3
distance ratetime
10 r 3 t
10
t
r 3
10
4
r 3 r 3
10r 30 4r 12
6r 42 7 km / h
Assignment
Page 383
7, 8, 11, 12,15,16