A backhoe can dig

5

10

of a ton of dirt in

1

6

of a hour. Compute the unit rate by setting up a complex fraction and simplifying.

Verified Answer :

5 holes =1 hour 

10 = 6 hours

60 min in 1 hour 

60x6=360 


360min 360=/M

5/m=1h=10/m=M

bye the time ones donec its /M

1/10

Answer:

The unit rate is 3 tons per hour.

Step-by-step explanation:

Given,

A backhoe can dig  \(\frac{5}{10}\) of a ton of dirt in  \(\frac{1}{6}\) of an hour.

Thus we can write,

\(\frac{1}{6}\text{ hour}=\frac{5}{10}\text{ ton}\)

\(1\text{ hour}=6\times \frac{5}{10}=\frac{30}{10}=3\text{ tons}\)

Hence, the backhoe can dig with the rate of 3 tons per hour.