SOLUTION: Please help me solve this problem: If 18 men take 10 hours to build a wall, how manu hours would 10 men take? I think the answer is 18 hours. Please explain this question to me.

Algebra ->  Rate-of-work-word-problems -> SOLUTION: Please help me solve this problem: If 18 men take 10 hours to build a wall, how manu hours would 10 men take? I think the answer is 18 hours. Please explain this question to me.      Log On


   



Question 981198: Please help me solve this problem: If 18 men take 10 hours to build a wall, how manu hours would 10 men take? I think the answer is 18 hours. Please explain this question to me.
Found 2 solutions by solver91311, josgarithmetic:
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


If 18 do the job in 10 hours, then 1 can do 1/18 of the job in 10 hours. Then 1 can do 1/180 of the job in 1 hour. Then 10 can do 1/18 of the job in 1 hour. Then 10 can do the whole job in 18 hours.

John

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

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Uniform Rates, Doing A Job.
One job for this exercise is "build a wall".
RT=J to relate work rate, time, quantity of job or jobs.

Agents working in a team give the team a rate the sum of the rates of the individual team members.

Let r be work rate for one worker.
Let t be unknown time for the question clause.
First clause: 18r%2A10=1
Second clause: 10%2Ar%2At=1

Understanding the discussion and how the two equations were formed must be, before you continue.

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The rest is just arithmetic, or simple algebra steps.