SOLUTION: A group of men can do a job in as many as there are men in the group. If the number of men is increased by 5, the number of days to do the job will be decreased by 4. Find the numb
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Question 22956: A group of men can do a job in as many as there are men in the group. If the number of men is increased by 5, the number of days to do the job will be decreased by 4. Find the number of men in the group. Thanks! Answer by venugopalramana(3286) (Show Source):
You can put this solution on YOUR website! LET X PEOPLE DO THE JOB IN X DAYS....SO IN ONE DAY X PEOPLE CAN DO 1/X JOB...OR..1 PERSON CAN DO IN ONE DAY 1/(X)^2 JOB
5 MORTE MEANS X+5 PEOPLE........X+5 CAN DO IN ONE DAY (X+5)/(X)^2 JOB ...HENCE HEY REQUIRE (X)^2/(X+5) DAYS TO DO 1 JOB..BUT THIS IS GIVEN AS EQUAL TO 4 LESS DAYS OR X-4 DAYS.
(X)^2/(X+5)=X-4
X^2=(X+5)(X-4)=X^2+5X-4X-20
X^2-X^2+X-20=0
X-20=0
X=20...
