Problem 1 :
If 20 lbs. of pet food costs $15, find the unit rate.
Problem 2 :
A bicycle manufacturer can produce 200 bicycles per day. How many weeks will it take to produce 5600 bicycles?
Problem 3 :
Alexa can run 20 miles in 3 hours at a constant rate. How long will it take her to run just 5 miles at the same rate?
Problem 4 :
Peter always keeps the 6 rooms in his house clean. If it takes him 15 minutes to clean each room, how many hours will it take him to clean all 6 rooms?
Problem 5 :
Kiran can type 400 words per hour. How many minutes will it take him to type a report with 2,000 words?
Problem 6 :
When Sarah works for 4 hours, she takes two breaks of 15 minutes each. If Sarah had worked 12 hours yesterday, how many minutes in breaks did she take?
Problem 7 :
It takes Alex 12 minutes to swim 4 laps. How many hours will it take him to swim 50 laps?
Problem 8 :
Henry can prepare 15 glasses of lemonade in 5 minutes. How long will he take to prepare 27 glasses of lemonade?
1. Answer :
Unit rate is the cost of 1 lb. of pet food.
20 lbs. ----> $14.98
Therefore, unit rate is $0.75.
2. Answer :
1 day ----> 200 bicycles
7(1 day) ----> 7(200 bicycles)
7 days or 1 week ----> 1400 bicycles
Number of weeks taken to produce 5600 bicycles :
3. Answer :
20 miles ----> 3 hours
20 miles ----> 3(1 hour)
20 miles ----> 3(60 minutes)
20 miles ----> 180 minutes
Time taken to run 5 miles :
= 5 ⋅ 9 minutes
= 45 minutes
4. Answer :
Peter always keeps the 6 rooms in his house clean. If it takes him 15 minutes to clean each room, how many hours will it take him to clean all 6 rooms?
1 room ----> 15 minutes
Time taken to clean 6 rooms :
= 6 ⋅ 15 minutes
= 90 minutes
= 1 hour 30 minutes
= 1.5 hours
5. Answer :
Kiran can type 400 words per hour. How many minutes will it take him to type a report with 2,000 words?
1 hour ----> 400 words
Time taken to type 2000 words :
= 5 hours
= 5(60 minutes)
= 300 minutes
6. Answer :
When Sarah works for 4 hours, she takes two breaks of 15 minutes each. If Sarah had worked 15 hours yesterday, how many minutes in breaks did I take?
4 hours of work ----> Two breaks of 15 minutes each
4 hours of work ----> 2(15 minutes) break
4 hours of work ----> 30 minutes break
Number of minutes of break required for 12 hours of work :
= 12 ⋅ 7.5 minutes
= 90 minutes
7. Answer :
It takes Alex 12 minutes to swim 4 laps. How many hours will it take him to swim 50 laps?
4 laps ----> 12 minutes
Time taken to swim 50 laps :
= 50 ⋅ 3 minutes
= 150 minutes
= 2 hours 30 minutes
= 2.5 hours
8. Answer :
5 minutes ----> 15 glasses
Time taken to prepare 27 glasses of lemonade :
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