Studdy AI Logo
Math  /  Numbers & Operations

QuestionComplete the parts below. Write your answers as whole numbers or fractions in simplest form. (a) A construction crew bult 11 kilometers of road in 33 days. Give two different unit rates using this relationship.
One unit rate: □\square (Choose one) per □\square Another unit rate: □\square □\square (Choose one) v{ }^{v} per □\square (b) Assume the crew bullds the same amount of road each day. How many kllometers of road can they bulld in 27 days? □\square kllometers

Studdy Solution

STEP 1

1. Unit rates are ratios that compare different quantities, typically one quantity per unit of another.
2. The problem involves determining the rate of road construction in kilometers per day and days per kilometer.
3. The problem also involves calculating the total amount of road built over a specified number of days using the unit rate.

STEP 2

1. Calculate the unit rate in kilometers per day.
2. Calculate the unit rate in days per kilometer.
3. Use the unit rate to find the total kilometers built in 27 days.

STEP 3

Calculate the unit rate in kilometers per day.
Unit rate=11 kilometers33 days \text{Unit rate} = \frac{11 \text{ kilometers}}{33 \text{ days}}

STEP 4

Simplify the fraction to find the unit rate in kilometers per day.
1133=13 kilometers per day \frac{11}{33} = \frac{1}{3} \text{ kilometers per day}

STEP 5

Calculate the unit rate in days per kilometer.
Unit rate=33 days11 kilometers \text{Unit rate} = \frac{33 \text{ days}}{11 \text{ kilometers}}

STEP 6

Simplify the fraction to find the unit rate in days per kilometer.
3311=3 days per kilometer \frac{33}{11} = 3 \text{ days per kilometer}

STEP 7

Use the unit rate of kilometers per day to find the total kilometers built in 27 days.
Total kilometers=(1 kilometer3 days)×27 days \text{Total kilometers} = \left( \frac{1 \text{ kilometer}}{3 \text{ days}} \right) \times 27 \text{ days}

STEP 8

Simplify the calculation to find the total kilometers.
Total kilometers=273=9 kilometers \text{Total kilometers} = \frac{27}{3} = 9 \text{ kilometers}
Solution: (a) One unit rate: 13\frac{1}{3} per day\text{day}
Another unit rate: 33 days\text{days} per kilometer\text{kilometer}
(b) In 27 days, the crew can build 99 kilometers of road.

Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord