Question

Joselyn is a manager at a sign painting company. She has three painters, Allen, Brianne, and Charles. Allen can complete a large project in 16 hours. Brianne can complete the same sized project in 18 hours. Charles is new, so no one knows how long it will take him.

Joselyn assigns them all a large project to complete together. Explain to Joselyn how this project can tell her how long it would take Charles if he worked by himself. Use complete sentences.

Answer 1

Would it not just be that if Charles works alone, we can get the amount of hours he can do a large project by himself? just like Allen=16 hours and Brianne=18 hours

Answer 2

I guess but they don't give any indication as to how long it takes Charles to do anything

Answer 3

I dont get this question tbh

Answer 4

THIS IS NOT EVEN MATH!!!!!!!!!!

Answer 5

okay listen

Answer 6

dann shhhh

Answer 7

With out a single piece of information about Charles, I don't know how anything can solved

Answer 8

A completes some work in 18 hrs
B completes it in 16 hrs
X completes it in N hrs

Answer 9

they are all working on the same work W

Answer 10

If they all worked together how long wld it take???

Answer 11

rate of A =W/18
rate of B=W/16
rate of X= W/n
therefore

let t be the time they complete work
(W/18+w/16+w/n)*t=W
solve for n

Answer 12

u can notice that w is actually common and independant in this case

Answer 13

(W/18+w/16+w/n)*t=W
=
(1/18+1/16+1/n)*t=1

Answer 14

make sense?

Answer 15

u can think more intuively like um

Answer 16

say i walk 2 steps every hour

Answer 17

no lets change that

Answer 18

say i walk 2 steps every second, suppose rachel walks 3 steps every second

Answer 19

and there is a "work" which requires 50 steps to be walked

Answer 20

2*t+3*t=50
t=10, in 10 secs id have walked 20 and rachel walked 30 to give us 50 total steps

Answer 21

not realistic whatsoever -.-

Answer 22

another way to think of it is

Answer 23

wait going back to the equation would you just solve for x?

Answer 24

50/2=25 secs
I alone complete it in 25 secs
rachel alone completes it in
50/3 seconds

Answer 25

u cannot solve for it that is an expression there are 1 too many unknowns in this case

Answer 26

u are simply explaining how given you know the time it takes for all 3 of them to complete the work u can tell the rate at which x works

Answer 27

okay so we're not actually finding out how long it takes Charles

Answer 28

We are giving a method of how to solve if we were perchance given some extra info

Answer 29

oh ok I think i know how to do that