SOLUTION: Alvin and Geraldine are addressing invitations to their wedding. Alvin can address one every thirteen seconds and Geraldine can do one in 40 seconds. how long will t take them to a

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Question 1069062: Alvin and Geraldine are addressing invitations to their wedding. Alvin can address one every thirteen seconds and Geraldine can do one in 40 seconds. how long will t take them to address 140 invitations?
Found 2 solutions by josmiceli, ikleyn:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
This is actually a "work" problem
Alvin's rate of working:
[ 1 invitation ] / [ 13 sec ]
Geraldine's rate of working:
[ 1 invitation ] / [ 40 sec ]
----------------------------
Let +t+ = time in sec to address
140 invitations
Their rate working together:
[ 140 invitations ] / [ t sec ]
---------------------
Add their rates of working to get their
rate working together
+1%2F13+%2B+1%2F40+=+140%2Ft+
Multiply both sides by +13%2A40%2At+
+40t+%2B+13t+=+13%2A40%2A140+
+53t+=+72800+
+t+=+1373.58+ sec
Convert this to minutes
+1373.58+%2F+60+=+22.893+ min
Convert the decimal part to seconds
+.893%2A60+=+54+
---------------------
It will takes them 22 min 54 sec






Answer by ikleyn(52910) About Me  (Show Source):
You can put this solution on YOUR website!
.
Alvin and Geraldine are addressing invitations to their wedding. Alvin can address one every thirteen seconds and Geraldine
can do one in 40 seconds. how long will t take them to address 140 invitations?
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Alvin is adressing 1%2F13 of an invitation per second.

Geraldine is adressing 1%2F40 of an invitation per second.

Working together, they are addressing 1%2F13+%2B+1%2F40 of an invitation per second.

1%2F13+%2B+1%2F40 = 40%2F%2813%2A40%29+%2B+13%2F%2813%2A40%29 = 53%2F520.

Hence, it will require 140%2F%28%2853%2F520%29%29 seconds to complete the job.

Use your calculator to get the answer.


For a wide variety of solved joint-work problems with detailed explanations see the lessons
    - Using Fractions to solve word problems on joint work,
    - Solving more complicated word problems on joint work,
    - Selected joint-work word problems from the archive
in this site.

Read them and get be trained in solving joint-work problems.

Also, you have this free of charge online textbook in ALGEBRA-I in this site
    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this textbook under the topic "Rate of work and joint work problems" of the section "Word problems".