SOLUTION: If it takes Maria three hours to make five cakes and takes Amy two hours to make five cakes, how long will it take them to to bake six cakes if they work together?

Algebra ->  Rate-of-work-word-problems -> SOLUTION: If it takes Maria three hours to make five cakes and takes Amy two hours to make five cakes, how long will it take them to to bake six cakes if they work together?      Log On


   

Question 793804: If it takes Maria three hours to make five cakes and takes Amy two hours to make five cakes, how long will it take them to to bake six cakes if they work together?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Add their rates of baking to get their rate working together
Maria's rate:
( 5 cakes ) / ( 3 hrs )
Amy's rate:
( 5 cakes ) / ( 2 hrs )
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Let +t+ = time in hrs for them to bake
+6+ cakes working together
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+5%2F3+%2B+5%2F2+=+6%2Ft+
Multiply both sides by +6t+
+10t+%2B+15t+=+36+
+25t+=+36+
+t+=+1.444+
+.444%2A60+=+26.4+
It will take them 1 hour and 26 minutes working together