12 men working 8 hours a day complete a piece of work in 10 days to complete a the same work in 8 days working 15 hours a days the number of men required is

12 men : 8 hours : 10 days

/ / Find if every man works 1 hour

12 x 8 men : 1 hour : 10 days

96 men : 1 hour : 10 days

//Find if every man works 15 hours

96 : 15 men : 15 hours : 10 days

6.4 men : 15 hours : 10 days

//Find if every man works 1 day

6.4 x 10 men : 15 hours : 1 day

64 men : 15 hours : 1 day

//Find if every man works 8 days

64 : 8 men : 15 hours : 8 days

8 men : 15 hours : 8 days

Answer: 8 men is needed