This document contains a review of lessons 16-23 from Mrs. Labuski and Mrs. Portsmore's math period. It includes word problems about runners training for a marathon and calculating their speeds in miles per hour or minutes per mile. It also covers calculating costs, distances, rates, and conversions between units like miles, yards, and hours.

1. Name ___________________________________ Date _____________________
Mrs. Labuski / Mrs. Portsmore Period _________ Module 1 Lessons 16-23 Review
Lesson 16
Mrs. Labuski started training for her half marathon with some of her friends. Each person runs
at a constant speed. Each runner recorded their run in the table below.
Runner
Anthony
Ken
Ciara
Mrs. Labuski
Distance (miles)
5
7
2
3
Time (minutes)
30
63
30
36
1. What two quantities are being compared? miles and minutes
2. What is the unit rate for each runner?
Anthony _________________
Ken _____________________
Ciara ____________________
Mrs. Labuski _____________
3. What is the rate unit for the runners? minutes per mile
4. To qualify for the NYC Marathon, men must
first complete a half marathon (13 miles)in a
certain amount of time. Anthony is 46 years old.
Does he run at a fast enough speed to qualify for
the NYC Marathon? Explain why or why not.
Age
Men
Marathon
26 miles
1/2 Marathon
13 miles
(approximate)
18-39
40-44
45-49
(approximate)
165 min
170 min
178 min
79 min
83 min
85 min
_____________________________________________________________________________
Yes, because if he runs at a constant rate of 6 minutes per mile he will complete 13 miles in
78 minutes and that is faster than the required 85 minutes.

2. Lesson 17
5. For training, the team eats a lot of bananas for healthy nutrition. Anthony found a store that
sells bananas at a rate of $.80 per pound. Use one of the methods (ratio table, tape diagram,
multiplicative value, or double number line diagram) to show your work.
Dollars $0.80
pounds
1
$1.60
2
$2.40
3
$3.20
4
$4.00
5
$4.80
6
$5.60
7
a. What is the ratio of dollars to pounds? 0.80:1
b.Anthony is only able to spend $5.00. How many pounds of bananas can he buy? 6
c. How much will it cost Anthony to buy 7 pounds of bananas? $5.60
Lesson 18
6. In marathon training, proper hydration is very important. Ciara did some research and
realized that every three minutes runners should drink 1 oz. of water. If they should continue at
the rate, how many minutes would it take the runners to drink an 8 ounce bottle?
Lesson 19
The training group had two new runners ask to join the team. The
team decided to take the fastest runner. Each runner submitted the
following training rates. Which runner should be allowed to join
the team?
John:m=7t where m is the number
of miles and t is the number of minutes.
Sanjeev:
7. At what rate does each athlete run?
John: 7 minutes per mile
Sanjeev: 8 minutes per mile
8. Which runner should be the new member? Explain The new runner should be John
because he runs the mile one minute faster than Sanjeev.

3. Lesson 20
For their next training session, it’s Ciara’s turn to bring water for the group. She wants to get
the best price so she compares the stores’ sale circulars. At Stop & Shop a 24 Pack of water is
$2.64. At Waldbaums a 12 pack of water is $1.44.
Stop & Shop
Waldbaums
9. Where should Ciara buy her water? Stop & Shop
10. What is the difference between the two unit prices? 0.01cheaper per bottle
Lesson 21
11. The team decides to enter a 5-mile run as a warm-up race. Use the conversion rate of 1,760
yards per mile, to determine how many yards did each member ran.
Lesson 22
12. What formula can we use to find the constant rate of speed? ____________________
13. What formula can we use to find the distance traveled? ____________________
14. If Mrs. Labuski can run at a rate of 5 miles per hour, how far can she run in 3 hours?
15. If a new member of the club runs 12 miles in 3 hours, how fast does he run?
Lesson 23
The members decide to compare their training schedules. One morning Ken ran 2 miles in 18
minutes and Anthony ran 5 miles in 30 minutes. Who ran at a faster rate?

4. Name ___________________________________ Date _____________________
Mrs. Labuski / Mrs. Portsmore Period _________ Module 1 Lessons 16-23 Review
Lesson 16
Mrs. Labuski started training for her half marathon with some of her friends. Each person runs
at a constant speed. Each runner recorded their run in the table below.
Runner
Anthony
Ken
Ciara
Mrs. Labuski
Distance (miles)
5
7
2
3
Time (minutes)
30
63
30
36
1. What two quantities are being compared? _________________________
2. What is the unit rate for each runner?
Anthony _________________
Ken _____________________
Ciara ____________________
Mrs. Labuski _____________
3. What is the rate unit for the runners? ___________________
4. To qualify for the NYC Marathon, men must
first complete a half marathon (13 miles)in a
certain amount of time. Anthony is 46 years old.
Does he run at a fast enough speed to qualify for
the NYC Marathon? Explain why or why not.
Age
Men
Marathon
26 miles
1/2 Marathon
13 miles
(approximate)
18-39
40-44
45-49
(approximate)
165 min
170 min
178 min
79 min
83 min
85 min
_____________________________________________________________________________
_____________________________________________________________________________
_____________________________________________________________________________

5. Lesson 17
5. For training, the team eats a lot of bananas for healthy nutrition. Anthony found a store that
sells bananas at a rate of $.80 per pound. Use one of the methods (ratio table, tape diagram,
multiplicative value, or double number line diagram) to show your work.
a. What is the ratio of dollars to pounds? ___________________________
b. Anthony is only able to spend $5.00. How many pounds of bananas can he buy? ______
c. How much will it cost Anthony to buy 7 pounds of bananas? ______________________
Lesson 18
6. In marathon training, proper hydration is very important. Ciara did some research and
realized that every three minutes runners should drink 1 oz. of water. If they should continue at
the rate, how many minutes would it take the runners to drink an 8 ounce bottle?
Lesson 19
The training group had two new runners ask to join the team. The
team decided to take the fastest runner. Each runner submitted the
following training rates. Which runner should be allowed to join
the team?
John:m=7t where m is the number
of miles and t is the number of minutes.
Sanjeev:
7. At what rate does each athlete run?
John: __________________________
Sanjeev: __________________________
8. Which runner should be the new member? Explain ________________________________
_____________________________________________________________________________
_____________________________________________________________________________

6. Lesson 20
For their next training session, it’s Ciara’s turn to bring water for the group. She wants to get
the best price so she compares the stores’ sale circulars. At Stop & Shop a 24 Pack of water is
$2.64. At Waldbaums a 12 pack of water is $1.44.
9. Where should Ciara buy her water? __________________________________________
10. What is the difference between the two unit prices? _______________________________
Lesson 21
11. The team decides to enter a 5-mile run as a warm-up race. Use the conversion rate of 1,760
yards per mile, to determine how many yards did each member ran.
Lesson 22
12. What formula can we use to find the constant rate of speed? ____________________
13. What formula can we use to find the distance traveled? ____________________
14. If Mrs. Labuski can run at a rate of 5 miles per hour, how far can she run in 3 hours?
15. If a new member of the club runs 12 miles in 3 hours, how fast does he run?
Lesson 23
The members decide to compare their training schedules. One morning Ken ran 2 miles in 18
minutes and Anthony ran 5 miles in 30 minutes. Who ran at a faster rate?