SOLUTION: You are the gardener hired by a landscape architect. In digging a garden. You work twice as fast as your assistant. Together, you can finish the job in 4hours. Y

Question 1044195: You are the gardener hired by a landscape architect. In digging a garden. You work twice as fast as your assistant. Together, you can finish the job in 4hours. You need to find out how long it can finish the job if each of you works alone. To this first you have to determine the expressions that represents the job completed based on your individual work rates. You have to fill the table below
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
I will do this without the table.
It takes you x hours to do this
in 1 hour, you do 1/x of the garden
It takes your assistant 2x hours to do it
in 1 hour, the assistant does 1/2x of the garden
In 1 hour, you do 1/4 of the garden together.
(1/x)+(1/2x)=1/4
multiply by common denominator of 4x
4+2=x
x=6 hours, your time
2x=12 hours, the assistant's time
Two-thirds of the work is done by you; one-third by your assistant

RELATED QUESTIONS
Please help me I'm having trouble with this problem: You work as a dental assistant... (answered by JulietG)

The head gardener can mow the lawns in the city park twice as fast as his assistant.... (answered by ikleyn,josgarithmetic,greenestamps,math_tutor2020)

Problem "Together, you and a friend can landscape a property in 6hours. Your friend takes (answered by checkley71)

the head gardner can mow the lawns in the city park twice as fast as his assistant.... (answered by ankor@dixie-net.com)

A landscape architect is designing a rectangular garden in a local park. The garden will... (answered by ikleyn)

You and a friend are 4.5kilometers away from each other. Walking toward each other, the... (answered by lwsshak3)

A rose garden is designed by joining a rectangle and a semicircle, as shown below. The... (answered by Big Poop)

A rose garden is designed by joining a rectangle and a semicircle, as shown below. The... (answered by josgarithmetic)