Answer:
It will take [/tex]27\frac{1}{29} \text{hr}[/tex] or 27.034 hr to complete the job.
Step-by-step explanation:
Consider the provided information,
12 roofers did a job in 65 1/3 hrs,
That means 1 roofer can do the same job in:
1 roofers will complete the work in [tex]=65\frac{1}{3}\ \times 12 \text{hr}[/tex]
[tex]=\frac{196}{3}\ \times 12 \text{hr}[/tex]
[tex]=784 \text{hr}[/tex]
Now we need to find time taken by 29 roofers.
29 roofers will complete the work in [tex]=\frac{784}{29} \text{hr}[/tex]
[tex]=27\frac{1}{29} \text{hr}[/tex]
Hence, it will take [tex]27\frac{1}{29} \text{hr}[/tex] or 27.034 hr to complete the job.