SOLUTION: mrs cesa can finish checking 40 item test ahead of mrs saburno by 1 min together by they can finish 27 paper in 1 hr .how long does it takes each to finish checking 1 paper?

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Question 1163280: mrs cesa can finish checking 40 item test ahead of mrs saburno by 1 min together by they can finish 27 paper in 1 hr .how long does it takes each to finish checking 1 paper?
Found 2 solutions by solver91311, ikleyn:
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


C can do one paper in minutes, and S can do one paper in minutes. Therefore, C can do of a paper in one minute, and S can do of a paper in one minute. Since they can do 27 papers in one hour, they can do of one paper in one minute. Therefore:



Solve for and then calculate


John

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

Answer by ikleyn(52815) About Me  (Show Source):
You can put this solution on YOUR website!
.

This equation


    1%2Fx + 1%2F%28x%2B1%29 = 9%2F20


can be easily solved mentally:  x = 4 minutes.


CHECK.  1%2F4 + 1%2F5 = 5%2F20 + 4%2F20 = 9%2F20.   ! Correct !



ANSWER.  4 minutes for the first lady and 5 minutes for the second lady.