SOLUTION: Six builders worked 8 hours a day for 10 days to complete a job. If eight builders worked 6 hours a day for 3 days, the remaining work had to be completed by six builders in 8 days
Algebra ->
Rate-of-work-word-problems
-> SOLUTION: Six builders worked 8 hours a day for 10 days to complete a job. If eight builders worked 6 hours a day for 3 days, the remaining work had to be completed by six builders in 8 days
Log On
Question 751392: Six builders worked 8 hours a day for 10 days to complete a job. If eight builders worked 6 hours a day for 3 days, the remaining work had to be completed by six builders in 8 days. How many hours did each builder have to work each day to complete the remaining of the job?
You can put this solution on YOUR website! Six builders worked 8 hours a day for 10 days to complete a job.
Find the number of man-hours required to complete the job:
6 * 8 * 10 = 480 man-hrs
:
If eight builders worked 6 hours a day for 3 days, the remaining work
had to be completed by six builders in 8 days.
How many hours did each builder have to work each day to complete the
remaining of the job?
:
Find the number of man-hrs completed in the first 3 days
8 * 6 * 3 = 144 man-hrs
Find the number of man-hrs required to complete the job
480 - 144 = 336 man-hrs
let h = no. of hrs a day required by the 6 workers
6 * h * 8 = 336
48h = 336
h = 336/48
h = 7 hrs a day
