It takes three men six hours to repair a rood How long would it taken two men

To determine how long it would take two men to repair the road, we'll use the concept of **work rate**. Here's a step-by-step breakdown: 1. **Understand the Given Information:** - **Team Size:** 3 men - **Time Taken:** 6 hours - **Work Completed:** Repairing 1 road 2. **Calculate the Work Rate for One Man:** - Total work done by 3 men in 6 hours: \( \text{Work} = \text{Rate} \times \text{Time} \) - Let the rate of one man be \( r \) roads per hour. - So, \( 3r \times 6 = 1 \) road - Solving for \( r \): \( r = \frac{1}{18} \) roads per hour 3. **Determine the Combined Rate for Two Men:** - Rate for two men: \( 2r = 2 \times \frac{1}{18} = \frac{1}{9} \) roads per hour 4. **Calculate the Time Needed for Two Men:** - Using the work formula again: \( \text{Time} = \frac{\text{Work}}{\text{Rate}} \) - \( \text{Time} = \frac{1}{\frac{1}{9}} = 9 \) hours **Answer:** It would take two men nine hours to repair the road.