12 labours construct 120 toys in 8 days working 8 hours per day. If two of them leave the work, then how many days are required to do the same work with a working of 6 hours per day.

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04 Nov 2014 Time and Work 12 labours construct 120 toys in 8 days working 8 hours per day. If two of them leave the work, then how many days are required to do the same work with a working of 6 hours per day.: OPtion
1) 15
2) 17.2
3) 12
4) 14
5) 11.8
6) 15.4
7) 12.8
8) 10.8
9) 16
10) 24.2; Correct Option: 7 Best Solution (63)

anupriya sinha 10 years AGO

M1 =12 , W1 =120 ,D1 =8 ,H1 =8
M2 = 10 ,W2 =120 , D2 = X ,H2 =8
M1*D1*H1*W2 = M2*D2*H2*W1
12*120*8*8 =10*120*X*6
X =12.8

Like? Yes (7) | No (2)

vibhor 10 years AGO

Total Working hours= 8*8*12 =>768
If 2 men left means we have only 10 men,and 6 hr per day

Suppose days required is X
Total Working Hours= 6*x*10
and work is same so we can say that

6*x*10=768
x=12.8
so ans will be option 7 that is 12.8 days

Like? Yes (6) | No (2)

NAVEEN KUMAR 10 years AGO

(12*8*8)/(6*10)=12.8 option 7

Like? Yes (3) | No (2)

D.Ramakrishna 10 years AGO

because man power and working hours are less compare to first statement

Like? Yes (1) | No

ritika 10 years AGO

12labour->120 toys-> 8 days->8 hours
find
10labour-> 120 toys->6hours->how many days

no of days = 8*(12/10)*(8/6)
=12.8

Like? Yes (1) | No

madhusudhanreddy 10 years AGO

total value for 1st is 768
8*8*12
so second total must be equal 768
as 6*10*?
when putting 12.8 gets 768 so ans is 7

Like? Yes (1) | No

Dinesh Kumar 10 years AGO

120/12*8*8=120/10*6*d1
d1=12.8days

Like? Yes (2) | No (2)

Rishikesh Ranjan 10 years AGO

(64*12)/10=76.8hours= 12.8 days

Like? Yes (2) | No (2)

Aishwarya Chandra 10 years AGO

labour days hours
12 8 8
10 ? 6

by chain rule-
10 : 12
: : 8 : X
6 : 8

10 X 6 X x = 12 X 8 X8
x = 12.8

Like? Yes (2) | No (2)

sunil sharma 10 years AGO

120/(12*8*8)=120/(10*6*?)
=>64/5
=>12.8 ANS

Like? Yes (1) | No (1)

tirupathi reddy 10 years AGO

x=(12*120*64)/(10*120*6)
x= 12.8

Like? Yes (1) | No (1)

manali jain 10 years AGO

formula is M1*D1*H1=M2*D2*H2
WHER M ARE NO OF MEN, D IS NO OF DAYS,H STANDS FOR NO OF HRS... this formula is applicable to the same work.
i.e 12*8*8=(12-2)*D2*6
on solving we will get 12.8 as answer

Like? Yes (1) | No (1)

Nitesh Joshi 10 years AGO

12*8*8=10*x*6
x=12.8
WHERE X = no. of days

Like? Yes (1) | No (1)

chandu 10 years AGO

12 lab 120toys in 8d 8h
1 lab 1 toys in 8*8*12/(24*120)=8/30
now 10 lab 120toys in (8/30)*(1/10)*(120/6)*24=12.8
(24 is multiplied for converting hours to days).

Like? Yes (1) | No (1)

Sandeep Kumar 10 years AGO

12*8*8/120=x*10*6/120 =>x=64/5=12.8

Like? Yes (1) | No (1)

sunil sharma 10 years AGO

1 man 1 hour work 1/(64*12)
then 10 man 6 hour work will be (64*12)/10*6=12.8

Like? Yes (2) | No (2)

AVINASH GAURAV 10 years AGO

12 men-8hrs-8day=120toys.
1men-1h-1day=120/(12*8*8).
10men-6hr-xday=120*(10*6*x)/(12*8*8)=120.
x=12.8

Like? Yes (2) | No (2)

vasmi 10 years AGO

12 Persons Work 64 Hrs for 8 days..
10 persons Work 60Hrs for ?????
12.8

Like? Yes (1) | No (1)

BINAY PRASAD YADAv 10 years AGO

12 labours construct 120 toys in 8 days if he works 8 hous per day
so 12 labour construct 120/8=15 toys in one day
now,
one labour can construct 15/ 12 toys in one day
therefore one labour can cinstruct 15/(12*8) = 0.15625 toys in one hour
so 10 labour can construct 0.15625*10=1.5625 toys in one hour
therefore 10 labour can construct 1.5625*6=9.375 toys in one day
now
9.375 toys constructed in one day
then one can constructed in 1/9.375=0.10666 days
therefore, 120 toys can constructed in 0.106666*120=12.8 days
correct answer 12.8 days
option 7) 12.8 is correct
0.9375 toys

Like? Yes (1) | No (1)

Vasudha 10 years AGO

L=labors H=hours, T=toys, D=days
So L1H1T1D1=L2H2T2D2
SO 12*120*8*8=10*6*120*D2
=> D2=12.8

Like? Yes (1) | No (1)

ramesh chandi 10 years AGO

total days require= (120*8*12*8)/(120*6*10)
=12.80 days

Like? Yes (1) | No (1)

Arijit Das 10 years AGO

64*12*120/6*120*10

Like? Yes (1) | No (1)

KAMAL KISHOR 10 years AGO

we have a shortcut formula for this type of question. The formula is M1*D1*H1/W1=M2*D2*H2/W2.
Here W1=W2=120 TOYS.
so, 12*8*8/120=10*6*D2/120.
so,D2=12.8 days.

Like? Yes (2) | No (2)

Ankur 10 years AGO

(120*12*8*8)=(120*10*?*6)
therefore ? = 12.8

Like? Yes (1) | No (1)

vineesha p 10 years AGO

12 men worked 64hrs(8hrs x 8hrs/day)
let no. of days 10men works for 6hrs/day =x
the time and men are inversely proportional
12/10=6x/64.
x=12.8

Like? Yes (2) | No (2)

Abhishek Srivastava 10 years AGO

12 people do work=12*8*8=768 hrs
10 people work= 10*6=60 days per hr
therefore days= 768/60=12.8 days

Like? Yes (1) | No (1)

Chirag Ranjan Lahiri 10 years AGO

let x be the no of days then we have 10*6x=12*8*8
hence x=(768/60)=12.8
hence answer is option(7)12.8

Like? Yes (3) | No (3)

Anurag Pandey 10 years AGO

(M1*d1*h1)= (m1*d2*h2)
where m= no of men
d= no of days
h= no of hours

Like? Yes (2) | No (2)

Surit Datta 10 years AGO

According to Unitary method I got the appropriate solution of the given problem.
the solution is (8*12*8) / (6*10 ) = 12.8
So 12.8 days required.
That's it.

Like? Yes (1) | No (2)

Abhishek Porwal 10 years AGO

(Input 1*Input2*Input3)/(Output1*output2*output3)=1
=> (12*8*8)/(6*10*x)=1
=> x=12.8

Like? Yes (1) | No (2)

Akshay 10 years AGO

since 12 labours construct 120 toys in 8 day with 8 hour/day
so,total time taken by 12 labours=12*8*8
now,we want the same from 10 labour with 6 hour per day
so ,total day taken=12*8*8/10*6=12.8

Like? Yes (1) | No (2)

RAKESH 10 years AGO

12*8*8 / 120 = 10*d*6 / 120

=> d = 12.8 days

Like? Yes (1) | No (2)

prem kumar 10 years AGO

mdh/w
12*64/120=10*x*6/120
x=12.8

Like? Yes (2) | No (3)

Simranjit Singh 10 years AGO

10 toys- 8*8 hours
1 toy- 8*8/10 hours
12 toys- 6*x hours
1 toy- 6*x/12 hours

8*8/10= 6*x/12
x=12.8 days

Like? Yes (1) | No (2)

Arijit Acharyya 10 years AGO

12 labours working 8*8 hours construct 120 toys
1 labour working 1*1 hour construct 120/12*8*8 toys
after leaving two of them
10 labour working 1*1 hour construct 120*10/12*8*8 toys

10 labours working 1*6 hours per day construct 120*10*6/12*8*8 toys
now , to make 120 toys
120/(120*10*6/12*8*8)= 12.8 days are required
option 7)

Like? Yes (3) | No (4)

Devendra Marghade 10 years AGO

12 Labour---------120 Toys ------8*8 Hours
12*5/6 Labour--- 120 Toys -----8*8*6/5 Hours
10 Labour----------120 Toys------8*8*6/(5*6)=64/5=12.8 Days (Working 6 hrs/day)

Like? Yes (1) | No (2)

Ayush Chawla 10 years AGO

(12*8*8)/120=(10*6*x)/120
x=12.8

Like? Yes (1) | No (2)

Amit Kumar Pal 10 years AGO

12*8*8=10*6*x
x=12.8(Answer)

Like? Yes (1) | No (2)

Gagandeep Singh Chhabra 10 years AGO

12*8*8=10*x*6
x=12.8

Like? Yes (1) | No (2)

satyam sharma 10 years AGO

(m1*d*h1)/w=(m2*d2*h2)/w
(12*8*8)/120=(10*X*6)120
X=128/10=12.8
so correct option is 7

Like? Yes (1) | No (2)

VIKAS KUMAR THAKUR 10 years AGO

total wok=12*8*8=768
two of them live the work then
work will be complete in=768/(6*10)=12.8

Like? Yes (1) | No (2)

bhargav kandukuri 10 years AGO

Formula:(M1D1T1=M21D2T2)
given,
M1=12,D1=8,T1=8
M2=10,D2=?,T2=6
since no.of toys=120 is same in both case hence,
(12*8*8=10*?=6)
?=12.8

Like? Yes (2) | No (3)

MRITUNJAY 10 years AGO

M*r*t/w
12*8*8/120=10*6*x/120
x=12.8

Like? Yes (1) | No (2)

purushothama 10 years AGO

12 men*8days*8hours=768 hours
similarly 10 men*xdays*6hours=60x hourse
x=760/60=12.8 days

Like? Yes (1) | No (2)

Tark Patel 10 years AGO

12 labours can construct 120 toys in 8 days working 8 hours per day,

total work ==>> 120 = 12 * 64

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Let 10 labours can construct 120 toys in x days working 6 hours per day,

total work ==>> 120 = 10 * 6x

though work is same hence 12 * 64 = 10 * 6x

required days = 12.8

Like? Yes (1) | No (2)

Deepak Kumar 10 years AGO

12 labour 120 toys in 8 days 8 hours

1 labour 10 toys in 8 days 8 hours

1 labour 10 toys in 3840 minutes

1 labour 1 toys in 384 minutes

10 labour 1 toys in 38.4 minutes

10 labour 120 toys in 4608 minutes

10 labour 120 toys in 76.8 hours

10 labour 120 toys in 76.8/6 = 12.8 days

Like? Yes (1) | No (2)

alok meher 10 years AGO

12 labour work 8 hours per day for 8 day to make 120 toys.they work for 8*8 =64 hour to complete the task,
in 64 hour 12 labour construct 120 toys
in 1 hour 12 labour construct 120/64 =1.875 toys
in 1 hour 1 labour construct 1.875/12 = 0.15625 toys
now 2 labour left so total no of labour = 10 ,
now ,in 1 hour 10 labour construct = 0.15625*10=1.5625 toys
also they work for 6 hour per day....
so they(10 labour) construct no of toys in 6 hour =1.5625*6=9.375 toys
so they construct 9.375 toys in one day
now,they have to construct 120 toys
so no of days required to construct 120 toys = 120/9.375=12.8 days.

Like? Yes (1) | No (2)

Abhishek Mitra 10 years AGO

1 person in 1 hr 10/64
10 person in 1 hr 100/64
so for doing 120 dey need 120*64/100 hrs
=(120*64)/(100*6) days = 12.8 dys (As they work 6 hrs for everyday )

Like? Yes (1) | No (2)

ankit mudgil 10 years AGO

A ITS SIMPLE TIME AND WORK PROBLEM.

by using formulae

M1*D1*H1*W1= M2*D2*H2*W2

here
M1&M2 are no. of mens required in case1 &case 2 resp.
D1&D2 are no. of days working in both cases resp.
H1&H2 are no. of hours working in a day in both cases resp.
W1&W2 are work 1 and work 2 resp.

hence on putting values in equation, we have
since M1=12, M2=10
D1= 8 , D2=D2(LET)
H1=8, H2=6
W1=W2=120

12*8*8*120= 10*D2*6*120

D2=(12*8*8)/(10*6) = 12.8

HENCE 12.8 days are required to do same work working 6 hours a day....

Like? Yes (1) | No (2)

Jayanta Dutta 10 years AGO

Let l be labours t be toys d be days and h be hours now as the work is same i.e no of toys remain same so t1=t2

L1=12 L2=(12-2) 10
D1=8 d2=x say
h1=8 h2= 6

So

L1D1h1t1=L2D2h2t2

D2=l1d1h1t1/l2h2t2

So d2=12*8*8*120/10*6*120
=12.8 opt7

Like? Yes (1) | No (2)

santosh kumar patel 10 years AGO