Question

@phi

Hayden is a manager at a landscaping company. He has two workers to landscape an entire park, Cody and Kaitlyn. Cody can complete the project in 8 hours. Kaitlyn can complete the project in 6 hours. Hayden wants to know how long it will take them to complete the project together.

Write an equation and solve for the time it takes Cody and Kaitlyn to complete the project together. Explain each step.

Answer 1

@phi

Answer 2

ik its 1/8 + 1/6 = 1/x

Answer 3

yes, if x is the unknown time

Answer 4

yes... now.. how do i solve this ?

Answer 5

I would add ⅛ + 1/6
you can use a common denominator of 48 or better 24

Answer 6

or a calculator

Answer 7

ok so i have to find out for both what number mulitplies to that to get 24 ?

Answer 8

yes, 3 and 4

Answer 9

so 3/24 and 4/24

Answer 10

yes

Answer 11

7/24

Answer 12

yes, so
7/24= 1/x

you are allowed to "flip" both sides

Answer 13

how do i do this ? ;/

Answer 14

the fast way is flip each side
for example if you had
½ = 4/8
then
2/1 = 8/4

Answer 15

the slow way is multiply both sides by x to get
x*7/24 = 1
then multiply both sides by 24/7
to get
x= 24/7

Answer 16

24/7 = x/1

Answer 17

yes. and x/1 is just x (divide by 1 does not change anything)
that is the answer in hours
you could write it as a mixed fraction 3 3/7 hours or as a fraction 3.42857 hours
or as 3 hours 26 minutes (rounded to the nearest minute)

Answer 18

why 3 3/7 ?

Answer 19

3 hours and 3/7 of an hour

it makes a bit more sense (people don't really understand 24/7 hours)

Answer 20

if you divide 7 into 24 you get 3 remainder 3 and you write it as 3 and 3/7
or just 3 3/7