In a factory, 60 workers can stitch 120m of clothes in 7 days, what length of clothes can be stitched by 70 workers in 5 days ?
A 100m B. 90m C. 85m D. 110 m

Options

A. B
B. C
C. D
D. A

Answer

To solve the problem step by step, we will use the concept of man-days and the relationship between workers, days, and work done.

### Step 1: Understand the given information
We know that:
- 60 workers can stitch 120 meters of cloth in 7 days.

### Step 2: Calculate the total work done in man-days
Total work done can be calculated using the formula:
\[ \text{Total Work} = \text{Number of Workers} \times \text{Number of Days} \]

For the first scenario:
\[ \text{Total Work} = 60 \text{ workers} \times 7 \text{ days} = 420 \text{ man-days} \]

### Step 3: Determine the work done per meter
Now, we need to find out how many meters of cloth can be stitched per man-day:
\[ \text{Work done per man-day} = \frac{120 \text{ meters}}{420 \text{ man-days}} = \frac{2}{7} \text{ meters per man-day} \]

### Step 4: Calculate the total man-days for the second scenario
Now we need to find out how much work can be done by 70 workers in 5 days:
\[ \text{Total Work for 70 workers in 5 days} = 70 \text{ workers} \times 5 \text{ days} = 350 \text{ man-days} \]

### Step 5: Calculate the total length of clothes that can be stitched
Using the work done per man-day, we can now find the total length of clothes stitched by 70 workers in 5 days:
\[ \text{Total Length} = \text{Total Man-Days} \times \text{Work done per man-day} \]
\[ \text{Total Length} = 350 \text{ man-days} \times \frac{2}{7} \text{ meters per man-day} \]
\[ \text{Total Length} = 100 \text{ meters} \]

### Conclusion
The length of clothes that can be stitched by 70 workers in 5 days is **100 meters**.