SOLUTION: Mary and Carol are doing a month project. Carol can do work twice as fast as Mary. If they work together they can finish the project in 4 hours. hOW WOULD YOU Reprsent the amount

Algebra ->  Rate-of-work-word-problems -> SOLUTION: Mary and Carol are doing a month project. Carol can do work twice as fast as Mary. If they work together they can finish the project in 4 hours. hOW WOULD YOU Reprsent the amount       Log On


   



Question 888482: Mary and Carol are doing a month project. Carol can do work twice as fast as Mary. If they work together they can finish the project in 4 hours. hOW WOULD YOU Reprsent the amount of work that mary can finish in 1 hour? how about the amount of work that carol finish in 1 hour?
Answer by LinnW(1048) About Me  (Show Source):
You can put this solution on YOUR website!
Set C = Carol's rate in projects per hour
M = Mary's rate is projects per hour
4*( combined rates for Carol and Mary ) = 1 project completion
4(C+M) = 1
Since Carol's rate is 2 times Mary's rate we can rewrite the above
4%282M+%2B+M%29+=+1 where C = 2M
8M+%2B+4M+=+1
12M+=+1
divide each side by 12
M = 1/12
Mary's rate is 1/12 project per hour
She can complete 1/12 of the project in one hour.