SOLUTION: Hannah and James are married. Every Saturday they take turns to clean their apartment. Hannah cleans it fast in 3 hours because she does not like to clean. James listens to music,

Question 1177307: Hannah and James are married. Every Saturday they take turns to clean their apartment. Hannah cleans it
fast in 3 hours because she does not like to clean. James listens to music, texts, and takes his time while
cleaning. He takes 5 hours. They finally decided to do it together. How long will it take?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Hannah and James are married. Every Saturday they take turns to clean their apartment.
Hannah cleans it fast in 3 hours because she does not like to clean.
James listens to music, texts, and takes his time while cleaning.
He takes 5 hours. They finally decided to do it together.
How long will it take?
;
Let t = time required when working together
let the completed job = 1 (A clean apt)
:
Each will do a fraction of the job, the two fractions add up to 1
+ = 1
multiply eq by 15, cancel the denominators
8t = 15
t = 15/8
t = 1.875 hrs which is 1 + .875(60) = l hr and 52.5 min
5t + 3t = 15
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