SOLUTION: 1.How many inmates are needed to finish washing 600 dishes in an hour if it takes three inmates to wash five dishes within a minute? 2. Six inmates can sort 1,221 laundry items

Algebra ->  Rate-of-work-word-problems -> SOLUTION: 1.How many inmates are needed to finish washing 600 dishes in an hour if it takes three inmates to wash five dishes within a minute? 2. Six inmates can sort 1,221 laundry items       Log On


   

Question 1022885: 1.How many inmates are needed to finish washing 600 dishes in an hour if it takes three inmates to wash five dishes within a minute?
2. Six inmates can sort 1,221 laundry items in one and a half hours. What is the average number of laundry items that an inmate can sort in five minutes?



Answer by ikleyn(52817) About Me  (Show Source):
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2. Six inmates can sort 1,221 laundry items in one and a half hours.
What is the average number of laundry items that an inmate can sort in five minutes?
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11%2F2  an hour  =  90 minutes.

Then the proportion is

1221%2F%286%2A90%29 = x%2F%281%2A5%29,

which says that the rate is the same in both situations  ( the rate measures in  items%2F%28inmate%2Aminute%29 ).

First simplify the proportion

1221%2F540 = x%2F5,

then solve it for   x = %281221%2A5%29%2F540 = 11.3.

Answer.  The number under the question is  11.3.