A labourer can do a Job in 36 hours. After 9 hours he takes a break. What fraction of the job is yet to be done?

Options

A. A) 0.5
B. B) 0.25
C. C) 0.75
D. D) 0.2

Answer

To solve the problem step by step, we can follow these instructions:

### Step 1: Determine the total time to complete the job.
The laborer can complete the entire job in 36 hours.

### Step 2: Calculate the time worked before the break.
The laborer has worked for 9 hours before taking a break.

### Step 3: Calculate the remaining time to complete the job.
To find the remaining time, subtract the time worked from the total time:
\[ \text{Remaining time} = \text{Total time} - \text{Time worked} = 36 \text{ hours} - 9 \text{ hours} = 27 \text{ hours} \]

### Step 4: Calculate the fraction of the job completed.
To find the fraction of the job that has been completed, divide the time worked by the total time:
\[ \text{Fraction completed} = \frac{\text{Time worked}}{\text{Total time}} = \frac{9 \text{ hours}}{36 \text{ hours}} = \frac{1}{4} \]

### Step 5: Calculate the fraction of the job yet to be done.
To find the fraction of the job that is yet to be done, subtract the fraction completed from 1:
\[ \text{Fraction yet to be done} = 1 - \text{Fraction completed} = 1 - \frac{1}{4} = \frac{3}{4} \]

### Step 6: Convert the fraction to decimal.
To express \(\frac{3}{4}\) as a decimal:
\[ \frac{3}{4} = 0.75 \]

### Step 7: Conclusion
The fraction of the job that is yet to be done is \(\frac{3}{4}\) or 0.75.