6 builders worked 8 hours a day for 10 days to complete a job.If 8 builders worked 6 hours a day for 3 days,the remaining work has to be completed by 6 builders in 8 days.How many hours does each builder need to work each day?
Presumably 6 builders working 8 hour days accomplish the same work as 8 builders working 6 hour days. After three days of work by 8 builders working 6 hour days, there will still be seven days of work needed, at 48 manhours per day. That is a total of 336 manhours. To complete the remaining work in eight days, you need to perform 42 manhours per day. With six workers, they would have to work 7 hours per day.
To solve this problem, we need to find out how many hours each builder needs to work each day in order to complete the remaining work in 8 days.
First, let's calculate the total work completed by 6 builders working 8 hours for 10 days:
Total work completed = (Number of builders) x (Hours worked per day) x (Number of days)
= 6 builders x 8 hours/day x 10 days
= 480 builder-hours
Now, let's calculate the work completed by 8 builders working 6 hours for 3 days:
Work completed = (Number of builders) x (Hours worked per day) x (Number of days)
= 8 builders x 6 hours/day x 3 days
= 144 builder-hours
To find the remaining work, we subtract the work completed by the 8 builders from the total work:
Remaining work = Total work completed - Work completed by 8 builders
= 480 builder-hours - 144 builder-hours
= 336 builder-hours
Since we have 8 days to complete the remaining work with 6 builders, we can calculate how many hours each builder needs to work per day:
Hours worked per day = Remaining work / (Number of builders x Number of days)
= 336 builder-hours / (6 builders x 8 days)
= 7 hours per day
Therefore, each builder needs to work 7 hours per day in order to complete the remaining work in 8 days.