Question

complete the parts below. write your answers as whole numbers or fractions in simplest form.
(a) a construction crew built 10 kilometers of road in 40 days. give two different unit rates using this relationship.
one unit rate: □ select ▼ per select ▼
another unit rate: □ select ▼ per select ▼
(b) assume the crew builds the same amount of road each day. how many days does it take for them to build 8 kilometers of road?
□ days

Explanation:

Step1: Calculate km per day rate

Divide total km by days: $\frac{10}{40} = \frac{1}{4}$ km/day

Step2: Calculate days per km rate

Divide total days by km: $\frac{40}{10} = 4$ days/km

Step3: Find daily road build amount

Use rate from Step1: $\frac{1}{4}$ km/day

Step4: Calculate days for 8 km

Divide total km by daily rate: $8 \div \frac{1}{4} = 8 \times 4 = 32$ days

Answer:

(a) One unit rate: $\frac{1}{4}$ kilometers per day; Another unit rate: $4$ days per kilometer
(b) 32 days