math
posted by don on .
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.