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?

To solve this problem, let's break it down into smaller parts.

First, let's calculate the total work required to complete the job. The work completed by the 6 builders working 8 hours a day for 10 days is:

6 builders * 8 hours/day * 10 days = 480 builder-hours

Next, let's calculate the work done by the 8 builders working 6 hours a day for 3 days:

8 builders * 6 hours/day * 3 days = 144 builder-hours

Now, let's determine the remaining work that needs to be completed:

Remaining work = Total work - Work done by 8 builders
Remaining work = 480 builder-hours - 144 builder-hours
Remaining work = 336 builder-hours

Finally, we can calculate the number of hours each builder needs to work each day for the remaining work to be completed in 8 days:

Number of hours each builder needs to work each day = Remaining work / (6 builders * 8 days)
Number of hours each builder needs to work each day = 336 builder-hours / (6 builders * 8 days)
Number of hours each builder needs to work each day = 7 builder-hours/day

Therefore, each builder needs to work 7 hours per day to complete the remaining work in 8 days.