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12 persons can complete the work in 18 days. after working for 6 days, 4 more persons added to complete the work fast. in how many more days they will complete the work?
Read Solution (Total 23)
-
- total work 12*18=216 units
after 6 days work finished 6*12=72 units
remaining work 216-72=144 units
remaing days =144(12+4)=9 days
- 10 years agoHelpfull: Yes(71) No(1)
- 12 person can complete work in 18 days
=>12 person can complete 1/18 work in 1 day.
=>In 6 days (1/18)*6 =1/3 of work is done, and work left = 2/3.
After adding 4 more people ,total number of people=16.
16 persons can complete same work in (12*18)/16=13.5 days.
hence work done by 16 persons in 1 day is 1/13.5
hence number of days required in completing 2/3 of work is (2/3)/1/13.5=9 days
Number of more days required are 9 days. - 10 years agoHelpfull: Yes(35) No(3)
- p1*d1/w1=p2*d2/w2
(12*6)/(1/3)=(16*d2)/(2/3)
d2=9 days
- 10 years agoHelpfull: Yes(23) No(0)
- work = 12*18 men days=216men days
work done=12*6=72 men days
work left=216-72=144 men days
now total men is 12+4=16 men.let they take x days to complete 144 men days work
=>16*x men day=144 men day
=> x=144/16=9 days - 10 years agoHelpfull: Yes(20) No(0)
- 12person-18days
total work-12*18=216
work of 12 persons for 6 days-12*6=72
remaining work-(216-72)=144
aftr 6 days 4 more persons joined them,
total no. of persons-12+4=16
more days to complt work is 144/16=9days
answer is 9 days - 10 years agoHelpfull: Yes(8) No(0)
- apply M1*D1=M2*D2
12*12=16*d2
d2=9days - 10 years agoHelpfull: Yes(8) No(0)
- Ans: 9 days
Explain:-
........let d is the number of the day
12*18 = 12*6 +16*d
16*d = (12 *18 - 12*6) = 12*12
d = 144/16 = 9
- 10 years agoHelpfull: Yes(7) No(0)
- 12 men works for 18 days
hence
total work=12*18 men days
so
total work for 6 days by 12 men=12*6
work remaining=12*18-12*6
=12(18-6) = 12*12 = 144 men days
now persons are added ,so total persons are 16;
no. of more days required to finish the job=144/16
=9 days
so the answer must be 9 days.
- 10 years agoHelpfull: Yes(3) No(1)
- 12 persons can complete the work in 18 days. one day work of 12 persons=1/18
if the 12 persons work for 6 days then work done=1/3
remaining work =1-1/3=2/3
4 people added to finish the work, so 16 persons 1 day work =2/27
hence number of days required to complete the remaining work=2/3/2/27=9 days
- 10 years agoHelpfull: Yes(1) No(0)
- 12*18=216
12*6=72
16*D=216-72=144
D=144/16=9 days - 10 years agoHelpfull: Yes(1) No(0)
- 12 person can complete work in 18 days
12 person can complete 1/18 work in 1 day.
In 6 days (1/18)*6 =1/3 of work is done, and work left = 2/3.
After adding 4 more people ,total number of people=16.
16 persons can complete same work in (12*18)/16=13.5 days.
hence work done by 16 persons in 1 day is 1/13.5
hence number of days required in completing 2/3 of work is (2/3)/1/13.5=9 days
Number of more days required are 9 days. - 10 years agoHelpfull: Yes(1) No(0)
- we can do by chain rule also
men days
12 18
12 12(6 days already worked,remaining 12 days work required to be completed by 12 men)
16 x (as more 4 men are added so total 16 men requires x days to complete work)
more men less days to complete the given task(indirect proportion)
16/12=12/x
:. x=9 so 9 more days required to complete the work - 9 years agoHelpfull: Yes(1) No(0)
- 12 men can complete a work in 18 days
1 day work of 12 men = 1/18
1 day work of 1 man= 1/(18*12)=1/216
12 men worked for 6 days...Thus,
work done = 1/18 * 6= 1/3
work left= 2/3
since 1 day work of 1 man = 1/216
1 day work of 16(i.e., 12+4)= 16 *1/216= 2/27
Thus 16 men can complete the work in 27/2 days
left work is 2/3...
So, the work will be completed in : 27/2 * 2/3 = 9 days.
Thus, the work will be completed in 9 days. - 7 years agoHelpfull: Yes(1) No(0)
- total work=12*18 (persons * days) = 216 units.
for first 6 days = 12*6 = 72 units completed.
remaining 216-72 = 144 units.
to find out the days when extra 4 persons added to 12 persons i.e. 12+4 = 16 persons
16*x = 144
x= 9 days. - 6 years agoHelpfull: Yes(1) No(0)
- 9 days,
- 10 years agoHelpfull: Yes(0) No(3)
- 12 person can complete the work in 18 days1 person can complete the piece of work in 1812 daysTherefore1 days work11812For 6 days 12 persons work612181213Remaining work1-1323Total number of people after increment1616 person will take 181216239 daysAnswer 9 days
- 10 years agoHelpfull: Yes(0) No(0)
- if it will go as on then 12 person complete remaini ng work in remaining 12 days but 4 men added that is s16 men total
so
men days
12 12
16 x
so x= (12*12)/16=9 days - 10 years agoHelpfull: Yes(0) No(0)
- 6
no days =6*(18/12)*2/3 - 10 years agoHelpfull: Yes(0) No(0)
- Total work = 12person x 18 days
=216 //12 persons can complete the work in 18 days
i) Number of persons and number of days = 12 x 6
= 72 //working for 6 days
ii) Number of persons and number of days
= (12+4) x number of days //after working for 6 days, 4 more persons added
216 = 72 + (16x Number of days)
216-72 = 16 x Number of days
144 / 16 = number of days
days = 9 days - 6 years agoHelpfull: Yes(0) No(0)
- 12 person do in 18 day
1 person do in 18*12 day
1 person in 1 day work= 1/18*12
12 person's 6 day work= 6*12/18*12=1/3
left work= 1-1/3=2/3
now for 16 men,
(12*6)/1/3=16*D/2/3
D=9 days - 6 years agoHelpfull: Yes(0) No(0)
- total work 12*18=216 units
after 6 days work finished 6*12=72 units
remaining work 216-72=144 units
remaing days =144/(12+4)=9 days - 6 years agoHelpfull: Yes(0) No(0)
- p1*d1/w1=p2*d2/w2
(12*6)/(1/3)=(16*d2)/(2/3)
d2=9 days - 5 years agoHelpfull: Yes(0) No(0)
- Understandable solution is
12 persons one day work=1/18
1 persons one day work=1/(18*12)=1/216
12+4=16 persons one day work=(1/216)*16=1/13.5
-->16 person can complete the work in 13.5 days
Already 6*1/18=1/3 work completed. Remaining 2/3 work
So 2/3*13.5=9 days
Thus 9 days is the answer - 4 years agoHelpfull: Yes(0) No(0)
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