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Numerical Ability
Ratio and Proportion
A man can complete a job in 12 days, wife will complete in 15 days, how many days, working together
(a) 6 2/3 (b) 6 1/3 (c) 10 1/3 (d) 10 2/3
Read Solution (Total 7)
-
- MAN : 1/12
WIF : 1/15
MAN + WIFE : 1/12 + 1/15 =3/20,,,. ie 20/3
20/3 means 6 2/3
so ans: 6 2/3 - 12 years agoHelpfull: Yes(11) No(0)
- ANS:(a)
man's one day work=1/12
wife's one day work=1/15
both=(1/12)+(1/15)=9/60
reciprocal of work is days
so 60/9=6 2/3 days. - 12 years agoHelpfull: Yes(1) No(0)
- One day job for a men=1/12
one day job for a wife=1/15
so together they can=1/12+1/15=27/180=3/20
so working together=20/3=6 2/3 - 12 years agoHelpfull: Yes(1) No(0)
- SOLVING BY UNITARY METHOD :
TOTAL UNITS OF WORK TO BE COMPLETED IS L.C.M OF 12 AND 15 THAT IS 60 UNITS
MAN COMPLETES 60/12 = 5 UNITS/DAY
WIFE COMPLETES 60/15 = 4 UNITS/DAY
TOGETHER IN 1 DAY THEY COMPLETE 9 UNITS/DAY
SO NUMBER OF DAYS IN WHICH WORK IS COMPLETED IS 60/9 = 6 2/3 - 12 years agoHelpfull: Yes(0) No(0)
- a)6 2/3
man 1 day work 1/12,wife 1 day work 1/15.
Together (1/12 + 1/15)= 3/20 ( 1 day work ).
to get total days invert it 20/3= 6 2/3. - 11 years agoHelpfull: Yes(0) No(0)
- a is answer 1/12+1/15=3/20
so in 20/3 days they will complete the work - 7 years agoHelpfull: Yes(0) No(0)
- Number of days taken by the man to complete the job = 12 days
His wife can complete the same job in = 15 days
productivity = total work รท time taken
total work =60 ( L.C.M of 12 & 15 )
productivity / efficiency of man = = 5 work/ day
productivity / efficiency of woman = = 4 work / day
hence working together they can complete the job = days
= days
Ans :- Working together they can complete the job in days.20/3 - 5 Months agoHelpfull: Yes(0) No(0)
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