SOLUTION: Mark can dig a ditch in 4 hours. Greg can dig the same ditch in 3 hours. How long would it take them to dig it together? PLEASE PROVIDE FULL ANSWER!!!

Algebra.Com
Question 1158207: Mark can dig a ditch in 4 hours. Greg can dig the same ditch in 3 hours. How long would it take them to dig it together? PLEASE PROVIDE FULL ANSWER!!!
Found 3 solutions by ikleyn, VFBundy, Alan3354:
Answer by ikleyn(52776)   (Show Source): You can put this solution on YOUR website!
.

Mark makes    of the job per hour.


Greg makes    of the job prt hour.


Working together, they make  +  =  +  =  of the job per hour.


It means that they complete the job in   hours = 1 hours = 1 hour and 43 minutes (approximately).    ANSWER

Solved and fully explained. And completed.

--------------------

It is a standard and typical joint work problem.

There is a wide variety of similar solved joint-work problems with detailed explanations in this site.  See introductory 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


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".


Save the link to this online textbook together with its description

Free of charge online textbook in ALGEBRA-I
https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson

to your archive and use it when it is needed.


Answer by VFBundy(438)   (Show Source): You can put this solution on YOUR website!
Mark's rate of work = 1/4 ditch per hour
Greg's rate of work = 1/3 ditch per hour

Rate of work working together = (1/4 + 1/3) ditch per hour = (3/12 + 4/12) ditch per hour = 7/12 ditch per hour

If they can dig 7/12 of the ditch per hour working together, this means it will take them 12/7 hour to dig the ditch working together.

12/7 hours...or 1-5/7 hours...is about 1 hour and 43 minutes.
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
PLEASE PROVIDE FULL ANSWER!!!
-----------------
What would less than the FULL ANSWER look like?
Just the numerator?
----------------------
3*4/(3+4) = 12/7
RELATED QUESTIONS

Marlo can dig a ditch in 2 hours and his daughter can dig the same size ditch in 4 hours... (answered by ewatrrr)
A man can dig a ditch in 3 hours and his daughter can dig the same size ditch in 5 hours. (answered by checkley79)
it takes Jacob 3 hours to dig a ditch, which is 6 feet deep. Johnson can accomplish the... (answered by ankor@dixie-net.com)
Marlo dug a ditch in one hour and his daughter, Maeryll, can dig the same size ditch in... (answered by Boreal)
John can dig a ditch in 3 hours. Mary can dig the same ditch in 4 hours. How long will... (answered by Alan3354)
John can dig a ditch in 3 hours. Mary can dig the same ditch in 4 hours. How long will... (answered by Alan3354)
Dave can dig a ditch in 6 hours, and Sam can dig a ditch in 4 hours. Frank can fill a... (answered by mananth)
A man can dig a ditch in 3 hours and his daughter can dig the same size ditch in 5 hours. (answered by Alan3354)
Joe digs a ditch in 3.2 hours. Joe working with George can did the same length ditch in... (answered by venugopalramana)