Walter, Bill, and Tom want to decorate the multi-purpose room in school for a dance. It would take Walter and Bill 4 hours each to do the job and Tom alone could do the job in 3 hours. If all work together, how long will it take them to decorate the room?

Respuesta :

Answer: Number of hours they all will take is [tex]\frac{12}{7}=1\frac{5}{7}\ hours[/tex]

Step-by-step explanation:

Since we have given that

Number of hours Walter and Bill takes to do the job = 4 hours

Number of hours Tom alone takes to do the job = 3 hours

We need to find the number of hours takes them together to decorate the room.

Work done by Walter and Bill = [tex]\frac{1}{4}[/tex]

Work done by Tome = [tex]\frac{1}{3}[/tex]

total work done by three is given by

[tex]\frac{1}{4}+\frac{1}{3}\\\\=\frac{3+4}{12}\\\\=\frac{7}{12}[/tex]

Hence, Number of hours they all will take is [tex]\frac{12}{7}=1\frac{5}{7}\ hours[/tex]