An animal shelter is building new cages for 26 dogs and 34 cats. all the animals are kept separate. the first crew can build a cage in 1 hour and the second crew, which is smaller, takes 2 hours to build a cage. how many hours will it takes to build the cages using both crews if they do not take a break?

The animal shelter is building cages for 26 dogs and 34 cats.

26 + 34 = 60

It needs to build 60 cages.

The first crew builds 1 cage in 1 hour. Rate: 1 cage/hour

The second crew builds 1 cage in 2 hours, or 1/2 cage in 1 hour. Rate: 1/2 cage/hour

They work together for x hours and build all 60 cages.

In x hours, the first crew builds 1 cage/hour * x hours = x cages.

In x hours, the second crew builds 1/2 cage/hour * x hours = 1/2 x cages.

Combined, they build 60 cages.

x + 1/2 x = 60

x + 0.5x = 60

1.5x = 60

x = 40

It will take 40 hours.

Check: In 40 hours, the first crew builds 40 cages.

In 40 hours, the second crew builds 20 cages.

40 + 20 = 60

In 40 hours, the two crews build 60 cages.

Our answer above is correct.

All together, the shelter needs (26 + 34) = 60 new cages built.

Crew #1 builds a cage in 1 hour.  They finish 1 cage/hour.

Crew #2 builds a cage in 2 hours.  They finish  1/2 cage/hour.

When both crews work, they finish (1 + 1/2) = 1.5 cage/hour.

To build 60 cages, it will take them

(60 cages) / (1.5 cage/hour) =

(60 cages) ÷ (1.5 cage/hour) =

(60 cages) x (hour / 1.5 cage) =

(60 cage-hour) / (1.5 cage) =

(60 / 1.5) (cage·hour/cage) =

40 hours  

well what you have to do is divide 84 by 6 so theanswer

step-by-step explanation:

84 divided by 6 = 14

and that lightbulb changing party must be freaking lit!

hi there

the slope is 1/3.

this is because from the y-intercept, you go up one, and you go to the right three, to get to the next exact point on the graph. this is known at the “rise over run.”

p.s. (if you need it).your y-intercept is -2, because that is the point on the graph where the line crosses the y-axis.

hope that : )