M4maths Previous Puzzles

22 May 2015 Time and work

9 men finish one-third work in 10 days. The number of additional men required for finishing the remaining work in 2 more days will be

OPtion

1) 81
2) 80
3) 78
4) 64
5) 55
6) 47
7) 30
8) 28
9) 25
10)21

Solution

Time taken by 9 men to finish the whole work = 30 days
Remaining work = (1 - 1/3) = 2/3
More work, more men (direct)
Less days, more men (indirect)
Work 1/3 : 2/3
Days 2 : 10
:: } 9:x
Therefore x = (2/3 * 10 * 9 * 3 * 1/2) = 90
Hence, additional number of men = 90-9 = 81
Option 1)

Correct Option: 1 Best Solution (25)

sivaramakrishna   10 years AGO

m1*d1/w1=m2*d2/w2

(9*10)/(1/3)=(?)*2/(2/3)
?=90 men required.
already 9 members are there.
extra men needed=90-9=81

Like? Yes (21) | No   

aman aditya   10 years AGO

let ,
9 men do work in 10 days=10*9=90 unit
work left=180 unit
work to be done in one day=180/2=90 unit
additional men=90-9=81

Like? Yes (20) | No (2)  

MRITUNJAY   10 years AGO

M*D*H/W*C=M*D*H/W*C

9*10*3/1=X*2*3/2
X=90
SO NUMBER OF MORE WORKER =90-9=81

Like? Yes (6) | No   

tanu goel   10 years AGO

1st case:
No. of men's engaged for work:9
No. of hours:10hrs
work done:1/3

2nd case:
No. of men require for work:(9+x)
Additional Days :2
work to be done: 2/3

Acc. to formula:

(M1*D1)/W1=(M2*D2)/W2

(9*10)/(1/3)=((9+X)*2*3)/2

Upon solving ,u ll get x=81 workers

Like? Yes (6) | No   

Muhammad Nadeem Haider Naseem   10 years AGO

9 men finish 1/3 work in 10 days, so 9 men finish all the work in 10 * 3 = 30 days
9 men finish all work in 30 days, so 1 man finish all work in 30 * 9 = 270 days
This implies 1 man will finish 2/3 work in (2/3) * 270 = 180 days
180 / 2 = 90 men will complete 2/3 work in 2 days

Since 90 men can complete the remaining 2/3 work, and there are already 9 men here, the required additional men will be = 90 - 9 = 81

Like? Yes (4) | No   

ABHINAV PUSHPAM   10 years AGO

[9*10/(1/3)]=[x*2/(2/3)]
x=90
so, additional men required = 90-9= 81 men
option 1)

Like? Yes (4) | No (1)  

Sundar Kumar   10 years AGO

Time taken by 9 men to do the whole work = 30 days
Remaining Work = (1-(1/3)) = 2/3
since , more work, more men ( direct)
and less days, more men (Indirect)
Work =(1/3):(2/3)::9:x
days 2:10::9:x
x=(2/3)*10*9*3*(1/2) = 90
Additional number of men = (90-9) =81
Answer : Option 1) 81

Like? Yes (3) | No   

chepuru sai priyanka   10 years AGO

same 9 mens required another 20 days to complete remaining two-third work...to complete it in 2 days 90 mens are required....already 9 mens are there we need 81 mens in additional to them

Like? Yes (2) | No   

Devendra Marghade   10 years AGO

9 Men's 1 day work in 1/(3*10)=1/30 days.
So 1 Man's 1 day work=1/(9*30)=1/270
As remaining work=2/3, which is to be completed in 2 days with existing 9 men & 'x' additional men, then
2*(1/30) + 2*(x/270) =2/3
(9+x)/270=1/3, x=81

Like? Yes (1) | No   

Shiva Teja   10 years AGO

9 men finishes 1/3 of work in 10 days
One man in one day completes (1/3)*(1/9)*(1/10)=1/270 of work

To complete 2/3 of work in 2 days
We need ........(2/3) / ((1/270)*2) no of workers
no of workers needed =90
No of additional workers needed=90-9=81

Like? Yes (1) | No   

sompon temtheerakij   10 years AGO

2/3 work use 2x9x10 = 180 man/2days
= 90 men / day
The number of additional men = 90-9 = 81 men

Like? Yes (1) | No   

Aditi Tenguria   10 years AGO

time taken by 9 men to finish whole work=30 days
remaining work=(1-1/3) =>2/3
..
work 1/3:2/3::9:x
days 2:10::9:x
=>x=2/3*10*9*3*1/2=90
additional no of men=90-9=81

Like? Yes (1) | No   

vivek   10 years AGO

using chain rule,
3*2*x= 9*10*6
x= 90
SO required no. of man = 90-9=81

Like? Yes (2) | No (1)  

poojasaisri   10 years AGO

(m1*d1*h1)/w1=(m2*d2*h2)/w2
(9*10)/(1/3)=(m2*2)/(2/3)
m2=90
already 9 men are there
additional men are 81

Like? Yes (1) | No   

Deepak Puri   10 years AGO

9 men finish 1/3 work in 10 days,
so 9 men finish all the work in 10 *3 = 30 days
9 men finish all work in 30 days,
so1 man finish all work in 30 * 9 = 270 days
This implies 1 man will finish 2/3 work in (2/3) * 270 = 180 days
180 / 2 = 90 men will complete 2/3work in 2 daysSince 90 men can complete the remaining 2/3 work,
and there are already 9 men here, the required additional men will be = 90 - 9 = 81

Like? Yes (1) | No   

KRISHAN MURARI   10 years AGO

1-1/3=2/3
so 2/3 work will be done by 90(9*10) men in 2 days
additional men=90-9=81

Like? Yes (1) | No   

Divyabala R   10 years AGO

When each men works in equal rate then 9 men * 10 days / work done(1/3) = x men * 2 days / work to be done (2/3)
gives , total of 90 men to complete the remaining work in 2 days .

We already have 9 men so additionally we need 81 and thats it.

Like? Yes (1) | No   

Dr.Dipin Singh   10 years AGO

Total mandays required to complete job = 9*10*3=270
mandays utilised in 10 days = 9*10=90 days
Balance mandays for 2 days = (270-90)=180
No of men required = 180/2=90
Additional men reqd. = 90-9=81

Like? Yes (1) | No   

kambalanaresh   10 years AGO

90 members finish the remaining wok in 2 days

Like? Yes (1) | No   

Sanjiv   10 years AGO

2/3 work remaining which can be done by 180 men in a day

so we need to complete it into 2 days .So totally 90 men required and 9 are already there so we need 81 more men to complete the task in text two days.

Like? Yes (1) | No   

sravani   10 years AGO

45 for 2 says
for 1/3 work
for 2/3 its 90 men
90-9 =81men more

Like? Yes (1) | No   

Aditi Khandagale   10 years AGO

9 men finish 1/3 work in 10 days, so 9 men finish all the work in 10 * 3 = 30 days
9 men finish all work in 30 days, so 1 man finish all work in 30 * 9 = 270 days
This implies 1 man will finish 2/3 work in (2/3) * 270 = 180 days
180 / 2 = 90 men will complete 2/3 work in 2 days

Since 90 men can complete the remaining 2/3 work, and there are already 9 men here, the required additional men will be = 90 - 9 = 81

Like? Yes (1) | No   

Balakumaran N.A   10 years AGO

9 men finish 1/3 work in 10 days, so 9 men finish all the work in 10 * 3 = 30 days
9 men finish all work in 30 days, so 1 man finish all work in 30 * 9 = 270 days
This implies 1 man will finish 2/3 work in (2/3) * 270 = 180 days
180 / 2 = 90 men will complete 2/3 work in 2 days

Since 90 men can complete the remaining 2/3 work, and there are already 9 men here, the required additional men will be = 90 - 9 = 81

Like? Yes (1) | No   

THUMMALA VINEESHA   10 years AGO

9 men can do all the work in 30 days . 1 men can do all the work in 270 days. This shows that 1 men can do the remaining work 2/3 in 180 days. 90 men can complete the 2/3 work in 2 days. total =90. needed=90-9=81

Like? Yes (3) | No (2)  

kranthi kanchanapally   10 years AGO

Time taken to 9 men to complete the work is 30 days
remining wrk is =1-1/3=2/3
work 1/3:2/3::9:x
days 2:10::9:x
then x=2/3*10*9*3*1/2
x=90
then 90-9=81 is teh answer

Like? Yes (1) | No (1)