SOLUTION: It takes a child 3 times longer to vacuum a house than an adult. If it takes one hour for 1 adult and 1 child working together to vacuum a house how long would it take each person
Algebra.Com
Question 138723This question is from textbook
: It takes a child 3 times longer to vacuum a house than an adult. If it takes one hour for 1 adult and 1 child working together to vacuum a house how long would it take each person working alone?
This question is from textbook
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
It takes a child 3 times longer to vacuum a house than an adult. If it takes one hour for 1 adult and 1 child working together to vacuum a house how long would it take each person working alone?
----------------------
Child DATA:
Time = 3x hrs/job ; Rate = 1/3x job/hr.
---------------------
Adult DATA:
Time = x hrs/job ; Rate = 1/x job/hr
------------------------
Together DATA:
Time = 1 hr/job Rate = 1 job/hr
--------------------------
EQUATION:
rate + rate = together rate
1/3x + 1/x = 1
1 + 3 = 3x
3x = 4 hrs. (amount of time the child would require to do the job alone)
x = 4/3 hr. (amount of time the adult would require to do the job alone)
===================
Cheers,
Stan H.
RELATED QUESTIONS
The admission to a local fair is $10 for each adult and $6 for each child. Each ride... (answered by Boreal)
For a school play, Rocco bought 3 adult tickets and 5 child tickets for $40. Sasha bought (answered by TimothyLamb)
At a movie theater a family buys 2 adult tickets and 1 child ticket for a total of... (answered by JulietG)
Erica paid $46 for 2 adult and 4 child tickets to a play. Karen paid $86 for 4 adult and (answered by josgarithmetic)
Sue paid $46 for 2 adult and 4 child tickets to a play. Karen paid $86 for 4 adult and 7... (answered by ankor@dixie-net.com)
if 24 adult can finish a work in 16 days and 16 children can finish the same work in 48... (answered by ankor@dixie-net.com)
3adults 1 child go cinema =£30 1adult 4childs go and it = £22 how much is an adult ticket (answered by Stitch)
Brenda's school is selling tickets to a fall musical. On the first day of ticket sales... (answered by stanbon)
tom bought two adult tickets and three child tickets for $41. then he bought one adult... (answered by josgarithmetic)