Given, 48 people can do a work in 17 days. So total work = 48 x 17 = 816
Work done by 48 people in 6 days = 288.
The remaining work = 816 - 288 = 528
After 6 days four workers left. So number of people working is 44
Total number of days required for 44 men to complete the remaining work = 528/44 = 12