SOLUTION: Mr. Agbuya can mow a lawn in 3hours. His sons, Michael and Arnel can each do the job in 2hours. If the father and his sons work together. How long will it take them to mow a lawn?

Algebra ->  Rate-of-work-word-problems -> SOLUTION: Mr. Agbuya can mow a lawn in 3hours. His sons, Michael and Arnel can each do the job in 2hours. If the father and his sons work together. How long will it take them to mow a lawn?      Log On


   



Question 940950: Mr. Agbuya can mow a lawn in 3hours. His sons, Michael and Arnel can each do the job in 2hours. If the father and his sons work together. How long will it take them to mow a lawn?
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
A=Mr.A's rate=1 yard/3 hr=1/3 yard per hour
S1=Son 1 rate=1 yard/2 hr=1/2 yard per hour
S2=Son 2 rate=1 yard/2 hr=1/2 yard per hour
Together=A+S1+S2=1/3 yard/hr+1/2 yard/hr+1/2 yard/hr=1 1/3 yards/hour=4/3 yards/hr
time=lawns/rate=1 yard/(4/3 yards/hr)=.75 hours
So it takes all three 3/4 hours or 45 minutes to mow one lawn