1. Question:
You can run at a rate of 6 miles per hour. How many inches per minute is this?

2. Time 60 sec = 1 min 60 min = 1 hr 24 hours = 1 day 7 days = 1 week 52
Weeks = 1 yr 12
Months = 1 yr

3. Length 12 Inches = 1 Foot 3 Feet = 1 Yard 5280 Feet = 1 Mile 10
mm = 1 cm
100
cm = 1 meter
1000
meters = 1 km

4. Capacity 8 fl oz = 1 cup 2 cups = 1 pint 2 pints = 1 quart 4
quarts = 1 gal
mL = 1 L
1000

5. Weight
oz =1 lb 16
2000
lbs = 1 T
g = 1 kg
1000

6. – process of including units of measure as factors
A remote control car travels at a rate of 10 ft per second. How many inches per second is this?
Dimensional Analysis
– process of including units of measure as factors
10 ft
1 sec .
12 in
1 ft in
1 sec
120 =
Multiplying by
is the same as multiplying by 1
12 in
1 ft
Cross cancelling the units, not the numbers

7. . 176 ft 60 sec ft 1 sec 1 min = 1 min 60 sec 10,560
A skydiver is falling at a rate of 176 ft per second. How many feet per minute is he falling?
176 ft
1 sec .
60 sec
1 min ft
1 min
10,560 =
Multiplying by
is the same as multiplying by 1
60 sec
1 min
Cross cancelling the units, not the numbers

8. Alonzo fills buckets at a rate of 6 gallons per minute.
What is the rate in gallons per hour?
6 gal
1 min .
60 min
1 hr
gal
1 hr
360 =
Multiplying by
is the same as multiplying by 1
60 min
1 hr
Cross cancelling the units, not the numbers

9. . . 6 gal 1 min 60 min 1 hr 4 qts 1 gal qts 1 hr = 1440
Alonzo fills buckets at a rate of 6 gallons per minute.
What is the rate in quarts per hour?
6 gal
1 min .
60 min
1 hr .
4 qts
1 gal
1440
qts
1 hr =
If we ended here we would have 360 GALLONS per hour….

10. . . 5 yd 1 sec 60 sec 1 min 60 min 1 hr yds 1 hr =
Henry rides his bike at a speed of 5 yards per second. How many yards per hour?
5 yd
1 sec .
60 sec
1 min .
60 min
1 hr
yds
1 hr
18,000 =
If we ended here we would have 300 yards per MINUTE….

11. . . 7 ft 60 sec 1 yd yds 420 yds = 1 sec 1 min = 3 ft 1 min 3 min 140
Marvin walks at a rate of 7 feet per second. How many yards per minute is this?
7 ft
1 sec . .
60 sec
1 min
1 yd
3 ft
420 yds
3 min
yds
1 min
140 = =
If we ended here we would have 420 FEET per minute.
Divide numerator by denominator

12. . . 2 ft 1 min 1 mi 5280 ft 60 min 1 hr mi 1 hr = = 320 mi 5280 min
An ant moves at a rate of 2 feet per minute. How many miles per hour is that?
2 ft
1 min .
1 mi
5280 ft .
60 min
1 hr mi
1 hr
320 mi
5280 min
0.06 = =
If we ended here we would have 2 miles per 5280 MINUTES
Divide numerator by denominator

13. . . . 6 mi 5280 ft 12 in 1 hr in = 1 hr = 1 mi 1 ft 60 min 1 min
Original Question:
You can run at a rate of 6 miles per hour. How many inches per minute is this?
6 mi
1 hr .
5280 ft
1 mi .
12 in
1 ft .
1 hr
60 min
380,160 in
60 min in
1 min
6336 = =
If we ended here we would have 31,680 FEET per HOUR.
If we ended here we would have 380,160 inches per HOUR.
Divide numerator by denominator

14. A water fall dumps 1,000 pints per second
A water fall dumps 1,000 pints per second. How many gallons per hour is that? . . . .
1000 pt
1 sec
1 qt
2 pts
1 gal
4 qt
60 sec
1 min
60 min
1 hr
3,600,000 gal
8 hrs
gal
1 hr
450,000 = =
If we ended here we would have QUARTS per SECONDS.
If we ended here we would have gallons per SECONDS.
If we ended here we would have gallons per MINUTES
Divide numerator by denominator