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

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)   (Show Source): You can put this solution on YOUR website!
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)   (Show Source): You can put this solution on YOUR website!

1 hour 26 minutes
Answer by solver91311(24713)   (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(52799)   (Show Source): You can put this solution on YOUR website!
.

Their combined rate of work is = = of the job per hour. Hence, it will take them 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.

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