Latest CAT Aptitude Question SOLUTION: rama can finish a work in 20 days and rani can finish the same work in 15 days.both worked for some day then rama left the job.then rani worked for one day the job was over.in how

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(#M40028901) CAT question Keep an EYE

rama can finish a work in 20 days and rani can finish the same work in 15 days.both worked for some day then rama left the job.then rani worked for one day the job was over.in how many days rama worked along with rani?

Asked In CAT MohanRaj (11 years ago)

Solved NIPUN JAIN Read Solution (5)

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NIPUN JAIN  (11 years ago)

8 Days
Rani's one day work - 1/15
Remaining work(i.e. work they completed together - 14/15)
Rama and Rani's one day work = 1/15+1/20 =7/60

so they completed 14/15 work in 14/15 divide 7/60 = 8 DAYS

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Ankit Gupta  (11 years ago)

let otal wrk is 60 units.
ram complet in 20 days ..means in 1 day=60/20=3uni/day
rani complt in 15 days .means in 1 day =60/15=4 unit/day.
rani do it for 1 day==1*3=3 units..left wrk=60-4=56
now left wrk done by both=56/3+4=8 days...

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gurpreet  (11 years ago)

ans. 8
rama & rani's one day's work= 1/20+1/15=7/60
7/60 work is done in = 1 day
14/15 work is done in= 60/7*14/15= 8

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C.Suneel Kumar Reddy  (11 years ago)

a=20,b=15 .
l.c.m of 20,15 is 60 . so 20*3=60 a can do 3 units per day .
15*4=60 . b can do 4 units per day . total 7 units per day .

b works one day so 60-4=56 . 56/7=8 . so they worked together for 8 days .

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Shoaib Mansoor  (11 years ago)

1 day work of Rama = 5 %
1 day work of Rani = 6.6667%
(Rama + Rani)collective 1 day work =11.6667 %
% of work remaining = 100 - 6.66667 (6.6667 = rani's 1 day work)
=93.333%
So,Collective rate * (no. of days)= 93.333
(no. of days)= 93.333/11.6667
(no. of days)= 8

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