if 6 workers complete a 1 km of roadway in 4 days. how long would it take for 4 workers to complete 3 km of roadway
6 workers do 1 km in 4 days
1 worker does 1 km in 4*6=24 days
1 worker does 3 km in 24*3=72 days
4 workers do 3 km in 72/4 = 18 days
or,
1km of road is 6*4 = 24 man-days
3km is thus 3*24 = 72 man-days
72 man-days/4man = 18 days
6 workers do 1 km in 4 days
1 worker does 1 k m in 4/6 or 2/3 days
4 workers do 1 km in 8/3 days
4 workers do 3 km in 3(8/3) or 8 days
To find out how long it would take for 4 workers to complete 3 km of roadway, we need to first calculate the rate at which the workers complete the work.
Given that 6 workers can complete 1 km of roadway in 4 days, we can calculate the rate at which they work per day. The rate is determined by dividing the distance by time:
Rate of 6 workers = 1 km / 4 days = 0.25 km/day
Now, we can calculate the rate of 1 worker by dividing the rate of 6 workers by the number of workers:
Rate of 1 worker = 0.25 km/day / 6 workers = 0.0417 km/day
Next, we need to find out how many days it would take for 4 workers to complete 3 km of roadway. To do this, we divide the distance by the rate of 1 worker:
Time = Distance / Rate of 1 worker
Time = 3 km / 0.0417 km/day
Time ≈ 72.07 days
Therefore, it would take approximately 72.07 days for 4 workers to complete 3 km of roadway.