Latest TCS Aptitude Question SOLUTION: a takes 12 hours to make a publication .b takes 10 hours to make it.how much time they take to make 2 publications independently?

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a takes 12 hours to make a publication .b takes 10 hours to make it.how much time they take to make 2 publications independently?

Asked In TCS manaswini devabhakthuni (10 years ago)

Unsolved Read Solution (13)

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Read Solution (13) :

Anurag Krishna  (10 years ago)

A can complete a publication in 12 hours and B in 10 hours and so the maximum time taken by both working independently to complete 2 publications will be 12 hours.

Is this solution Helpfull? Yes (19) | No (4)  

Mahesh  (10 years ago)

L.C.M(12,10)=60 units
a takes 12 hours-5units/hr
b takes 10 hrs-6 units/hr
a&b would take 11 units/hr
both should publish 2 publication =120 units
in 10 days a finish 50 units
in 10 days b finish 60 units.total 110 units.remaining 10 units would be done by"B"because he would do it faster.he would finish 10 units in 1 4/6 hrs.total 10+1 4/6=11 4/6 hr.

Is this solution Helpfull? Yes (10) | No (4)  

mohanreddy  (10 years ago)

lcm(12,10)=60
so a do 60/12=5units per day
b do 60/10=6 units per day
both a and b will do 5+6=11 units
so how much time taken to both a and b is 60/11=5hr 5min per publication
so for 2 piblications 2*5hr 5min=10hr10min

Is this solution Helpfull? Yes (7) | No (3)  

sneh  (10 years ago)

Ans:- 10hr 10min

Solution:-

A takes make a publication = 12hr
B takes make a publication = 10hr

So, that

A*12 = B*10
6A = 5B

both make a publication together time taken
D is time taken by both to make a publication
A*12 = (A+B)*D
A*12 = (A+6A/5)*D
D = 5hr 5min

both make two publication independently together time taken = D*2
= 5hr 5min *2
= 10hr 10min

Is this solution Helpfull? Yes (4) | No (6)  

GOGULA VENKATA KRISHNA REDDY  (10 years ago)

a and b can make 1 publication in 5hr27min, so to make 2 publications
they need 2*5h27m=10h54min

Is this solution Helpfull? Yes (2) | No (2)  

shekhar singh  (10 years ago)

answer is definately 12 hours because the max time is 12 hours n suppose both a and b starts at the same time then b will take 10 hours n after 10+2 hours a will complete his work..

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Aashish Sawant  (10 years ago)

12 hours to beacause it is maximum of 2

Is this solution Helpfull? Yes (1) | No   

adarshankit  (10 years ago)

120/11
1/12+1/10=11/60
i.e.60/11 for 1
120/11 for 2

Is this solution Helpfull? Yes (1) | No   

raviteja  (10 years ago)

lcm of 12 ,10=60

Is this solution Helpfull? Yes | No (11)  

rahul gera  (10 years ago)

120/11
a&b work 11/60 in 1 hour

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robins kondilya  (10 years ago)

a does 8.33% of job in 1 hr where as b does 10% of job in 1 hr.. together they do 18.33 % job in 1 hr.. so to total work they need 100/18.33=5.45 hr =5hr 27 min.. therefore total =10 hr 54 min

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mounika dupaguntalla  (10 years ago)

11hours 40minutes

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shakshijain  (10 years ago)

two publications simultaneously means they both makes two - two publications .
then a takes 1/24 and b takes 1/20 they combinedly makes in 120/11 hours= 10.9

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