SOLUTION: 1 pipe will fill a container in 20 minutes, the second pipe will fill the container in 30 minutes, how long will it take to fill the conatiner with both pipes?

Algebra ->  Distributive-associative-commutative-properties -> SOLUTION: 1 pipe will fill a container in 20 minutes, the second pipe will fill the container in 30 minutes, how long will it take to fill the conatiner with both pipes?      Log On


   



Question 79608: 1 pipe will fill a container in 20 minutes, the second pipe will fill the container in 30 minutes, how long will it take to fill the conatiner with both pipes?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
1 pipe will fill a container in 20 minutes, the second pipe will fill the container in 30 minutes, how long will it take to fill the conatiner with both pipes?
-----------------------
First pipe DATA:
Time = 20 min/job : Rate = 1/20 job/min
------------------
Second pipe DATA:
Time = 30 min/job ; Rate = 1/30 job/min
---------------
Together DATA:
Time = x min/job ; Rate = 1/x job/min
============
EQUATION:
1st pipe rate + 2nd pipe rate = together rate
1/20 + 1/30 = 1/x
Multiply thru by 60x to get:
3x + 2x = 60
5x = 60
x= 12 min/job (time required for pipes working together to do the job)
===================
Cheers,
Stan H.