Question

The time required to complete a task VARIES INVERSELY with the number of people working on the task. It takes 6 people 40 hours to complete a task. How long will it take 20 people to complete the same task?

Answer 1

@iGreen

Answer 2

My guess is 3 hours?

Answer 3

Is that correct?

Answer 4

@pooja195

Answer 5

Hold on

Answer 6

No, I think that's wrong..

Answer 7

Set up a proportion.

\(\dfrac{6}{40} = \dfrac{20}{x}\)

Answer 8

Cross multiply and solve for 'x'

Answer 9

6 times X
20 times 40

Answer 10

so you have 6x and 800

Answer 11

Yep.

Answer 12

Yep,

6x = 800

Divide 6 to both sides, what's 800 / 6?

Answer 13

0.0075

Answer 14

No, check again.

Answer 15

133?

Answer 16

@igreen

Answer 17

Oh wait, nevermind..yes..

Answer 18

???

Answer 19

Okay, I did something wrong..hold on.

Answer 20

So 133 minutes?

Answer 21

No

Answer 22

erm :?

Answer 23

Formula for inverse variation is:

\(y = \dfrac{k}{x}\)

Plug in 6 for 'x' and '40' for 'y'.

\(40 = \dfrac{k}{6}\)

Answer 24

Multiply 6 to both sides, what's 40 * 6?