Question

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.

Answer 1

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 2

The unit rate is 3 tons per hour.

Explanation:

Given,

A backhoe can dig
`(5)/(10)` of a ton of dirt in
`(1)/(6)` of an hour.

Thus we can write,

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

`1\text{ hour}=6* (5)/(10)=(30)/(10)=3\text{ tons}`

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