If 42 workers can dig a piece of land 84 meters in 18 days how much land in meters can 26 workers dig in 32 days?

To find out how much land 26 workers can dig in 32 days, first determine the work rate of the original 42 workers. They dig 84 meters in 18 days, so their combined rate is ( \frac{84 \text{ meters}}{18 \text{ days}} = 4.67 \text{ meters/day} ). The rate per worker is ( \frac{4.67 \text{ meters/day}}{42 \text{ workers}} \approx 0.111 \text{ meters/worker/day} ). Therefore, 26 workers would dig ( 26 \times 0.111 \text{ meters/worker/day} \times 32 \text{ days} \approx 92.32 \text{ meters} ).