SOLUTION: annie takes 6 hrs to do a project. Mya takes 9hrs. how long will it take them to do a project together?

Algebra ->  Rate-of-work-word-problems -> SOLUTION: annie takes 6 hrs to do a project. Mya takes 9hrs. how long will it take them to do a project together?      Log On


   

Question 612342: annie takes 6 hrs to do a project. Mya takes 9hrs. how long will it take them to do a project together?
Answer by alicealc(293) About Me  (Show Source):
You can put this solution on YOUR website!
Annie's speed = 1/6 project/hrs
Mya's speed = 1/9 project/hrs

If Annie and Mya work together, the speed will be:
1/6 + 1/9 = 3/18 + 2/18 = 5/18 project/hrs
For 1 project, the time taken if they work together will be:
1%2F%285%2F18%29 hrs
= 18/5 hrs
= 3 3/5 hrs
= 3 hrs + 3/5 * 60 mins
= 3 hrs + 36 mins

so, if they work together it will take 3 hours and 36 minutes to finish a project