Question

A crew will arrive in one week and begin filming a city for a movie the mayor is desparate to clean the city streets before filming begins two teams are avaliable one that requires 600 hours and one that requires 700 hours if the teams work together how long will it take to clean all of the streets? Is this enough time before the camera begin rolling?

Answer 1

Answer:

a.323.03hrs,

b.No. Time not enough

Step-by-step explanation:

One team takes $\frac{1}{600}$ of the job per hour,

Team two takes $\frac{1}{700}$ of the job together.

#to get what times it takes the two to clean together, we find the LCM of their work rates:

$LCM=\frac{1}{600}+\frac{1}{700}\\=\frac{13}{4200}$#It takes the two13/4200 of the job per hour.

Combined work rate is thus $4200\div 13=323.08hrs$

Hence it takes the two teams 323.03hrs to clean the streets working together.

b.The crew team is set to begin in 1 week(7days). We therefore convert our time into days/weeks to verify viability;

Since one day equals 24hrs, the team will take

$323.03/24=13.46days$

13.46days>7days

#NO,  The time is not enough since 13.46days is higher than the 1week(7day) timeline.