SOLUTION: It takes Eddie 2 hours to shovel the snow from a driveway and sidewalk. Brad can shovel the snow from the same sidewalk and driveway in 5 hours. How long will it take them working

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Question 1159684: It takes Eddie 2 hours to shovel the snow from a driveway and sidewalk. Brad can shovel the snow from the same sidewalk and driveway in 5 hours. How long will it take them working together to shovel the snow? Round your answer up to the next whole minute.
Found 4 solutions by Boreal, josgarithmetic, solver91311, ikleyn:
Answer by Boreal(15235) About Me  (Show Source):
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Eddie does 1/2 in 1 hour or x/2 in x hours
Brad does 1/5 in 1 hour or x/5 in x hours
the sum is 1 full job
(x/2)+(x/5)=1
multiply both sides by 10
7x=10
x=(10/7) hours or 600/7 minutes =86 minutes rounded up.

Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
1%2F%281%2F2%2B1%2F5%29hour

10%2F%285%2B2%29

10%2F7

1%263%2F7hours
1 hour 26 minutes

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


If it takes person A time periods to complete one job, then person A can complete of the job in one time period. Likewise person B who can complete one job in time periods, can complete of the job in one time period.

Working together, A and B can complete:



of one job in one time period, which is to say they can complete one job in:



time periods. So working together, they can complete complete jobs in:



time periods


John

My calculator said it, I believe it, that settles it


Answer by ikleyn(52798) About Me  (Show Source):
You can put this solution on YOUR website!
.

Their combined rate of work is  1%2F2%2B1%2F5 = 5%2F10%2B2%2F10 = 7%2F10  of the job per hour.


Hence, it will take them  10%2F7  hours to complete the job working together.   ANSWER

Solved.

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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.