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
Algebra.Com
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...
RELATED QUESTIONS
A group of men can do a job in as many days as there are men in the group. If the number... (answered by ankor@dixie-net.com)
A group of men can do a job in as many days as there are men in the group. If the number... (answered by mananth)
A group of men can do a job in as many days as there are men in the group. If the number... (answered by mananth,MathTherapy)
A group of men can do a job in as many as thre are men in the group. If the number of men (answered by venugopalramana)
a job can be done in as many days as there men in the group. if the number of men is... (answered by josgarithmetic,MathTherapy)
The number of men in a tour group is 15 times the number of women. If there are 48 people (answered by tommyt3rd)
A Travel Company has booked in a group of people on a Rock & Roll Cruise leaving from... (answered by ikleyn)
A certain number of men can complete a job in 10 days. if 10 man are absent, the... (answered by josmiceli)
A group of 30 people consists of 15 women and 15 men.
How many ways are there to
(a)... (answered by ikleyn)