SOLUTION: Mike Mulligan and His Steam Shovel by Virginia Lee Burton, Mike Mulligan can dig a cellar in just one day with his steam shovel Mary Anne. A diesel-powered excavator can dig the s

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Question 1140424: Mike Mulligan and His Steam Shovel by Virginia Lee Burton, Mike Mulligan can dig a cellar in just one day with his steam shovel Mary Anne. A diesel-powered excavator can dig the same hole in half a day. How long would it take to dig the hole if both machines worked together?
Found 3 solutions by josgarithmetic, ikleyn, Alan3354:
Answer by josgarithmetic(39620) About Me  (Show Source):
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Mike Mulligan and His Steam Shovel by Virginia Lee Burton, Mike Mulligan can dig a cellar in just one day with his steam shovel Mary Anne.
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WHAT?

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A diesel-powered excavator can dig the same hole in half a day. How long would it take to dig the hole if both machines worked together?
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Maybe this all means that the first, whatever can do the job alone in 1 day, and the "diesel excavator" can do the job alone in 1%2F2 day.

Answer expression for the question:
1%2F%281%2F1%2B1%2F%281%2F2%29%29days

Simplify that.

Answer by ikleyn(52803) About Me  (Show Source):
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The slower can dig one cellar in one day.


The faster can dig  2  cellars in one day.


Working together, they dig  1+2 = 3  cellars per day.


Hence, it will take  1%2F3  of the day for them to dig the cellar working together.

Solved.


Answer by Alan3354(69443) About Me  (Show Source):
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I saw the results of a recent poll.
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44% of (American) respondents think that American students should NOT be required to use Arabic numerals.