CAT
Exam
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?
Read Solution (Total 5)
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- 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 - 11 years agoHelpfull: Yes(14) No(0)
- 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... - 11 years agoHelpfull: Yes(3) No(0)
- 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 - 11 years agoHelpfull: Yes(2) No(0)
- 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 . - 11 years agoHelpfull: Yes(2) No(0)
- 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 - 11 years agoHelpfull: Yes(1) No(1)
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