Latest SSC Aptitude Question SOLUTION: a,b and c can do piece of work in 10,12 and 15 days respectively.A leaves 5 days before the completion of teh work and b leaves days after A.the whole work lasts for

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(#M40030199) SSC Numerical Ability question time and work Keep an EYE

a,b and c can do piece of work in 10,12 and 15 days respectively.A leaves 5 days before the completion of teh work and b leaves days after A.the whole work lasts for

Asked In SSC prabhat kumar (10 years ago)

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Read Solution (3) :

Tarun Sharma  (10 years ago)

lets total work last for x daYs.
so A worked for =x-5 days.
B worked for = x-4 days.
and c worked last.
so

x-5/10 + x-4 /12 + x/15 = 1
x=110/15days.

Is this solution Helpfull? Yes (11) | No (3)  

Mahesh  (10 years ago)

As nothing is given about the number od days after A, that B left, i am assuming it to be 2. Based on that assumption, I am solving the question.

The simple way of solving the question is assuming the total work to be LCM of 10, 12 and 15.
Let the total work be typing 60 pages, A can do 6/day, B can do 5/day and C can do 4/day
For the last three days only C worked, so work done = 3*4=12
The previous two days , B and C worked, so work done = 2(4+5)=18
The remaining work is done by A,B and C(6+5+4)
Remaining work= 60-(12+18)=30
Days required = 30/15 = 2 days

Total time duration= 7 days

Is this solution Helpfull? Yes (1) | No (4)  

John Moses  (7 years ago)

Take total work completed in x days

A=(x-5)/10

B=(x-3)/12

C=x/15

A+B+C= ?

LCM =60
(6x-30+5x-15+4x)/60
=7 days

Is this solution Helpfull? Yes | No (3)  

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