Question

Jean and Mark are going to fill a pool with 2 different sized hoses. Jean can fill the pool in 8 hours, while Mark can complete it in 12 hours. Their supervisor thinks that the job will take 10 hours to complete if they work together. Explain each step in solving this equation and determine if the supervisor is correct or not.

Answer 1

@Loser66

Answer 2

the supervisor is incorrect right

Answer 3

justify your thought, please, show me your work

Answer 4

well the equation is

\[\frac{ 1 }{ 8} + \frac{ 1 }{ 12} = \frac{ 1 }{ }\]

Answer 5

\[\frac{ 1 }{ x}\]

Answer 6

for the last one

Answer 7

next?

Answer 8

thats where i get stuck

Answer 9

i don't know what to do from there

Answer 10

to this kind of problem you have to put everything in neat
let V is the capacity of the pool
so, Jean, in 1 hour , can fill \(\dfrac{1}{8}V\) ok?
Mark, in 1 hour , can fill \(\dfrac{1}{12}V\) right?

Answer 11

yes

Answer 12

If they work together, the volume of water they can fill in the pool in 1 hour is
Jean's work + Mark's work = \(\dfrac{1}{8}V +\dfrac{1}{12}V= \dfrac{5}{24}V\) right?

Answer 13

yea