Latest TCS Aptitude Question SOLUTION: A works in 10 days to complete the task,B works in 12 days,C works in 15 days, if A leaves after 2 days,B leaves after 3 days. How many days are required to complete the task ?

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A works in 10 days to complete the task,B works in 12 days,C works in 15 days, if A leaves after 2 days,B leaves after 3 days. How many days are required to complete the task ?

Asked In TCS utkarsh (11 years ago)

Solved shraddha srivastava Read Solution (5)

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shraddha srivastava  (11 years ago) Best Solution

A(2 days work)+ B(3 days work)+ c(x days work)=1(total work done is always equal to 1)
2/10 + 3/12 + x/15 = 1
x = 8.25

Is this solution Helpfull? Yes (22) | No (2)  

Prakash kumar  (11 years ago)

a+b+c 2 day work = 2(1/10 + 1/12 + 1/15) = 1/2
b+ c 1 day work = (1/12 + 1/15) = 3/20
work left = 1 - (1/2 + 3/20)
= 1 - 13/20
= 7/20
now this work will be finished by c alone = 15* (7/20) days
= 5.25 means 5 days 6 hrs

Is this solution Helpfull? Yes (11) | No (6)  

Mahesh  (11 years ago)

let the work be making 60 problems, A can do it 6 a day, B 5 a day and D 4 a day.
A+ B+C in two days completes 30 problems.
B+C in the next day completes 9 problems

C can complete the remaining work in 21/4 days 5.25 days
Total days = 2+1+5.25 = 8.25

Is this solution Helpfull? Yes (8) | No (4)  

Gaurang Bhatnagar  (11 years ago)

A does W in 10 days
B W in 12 while C in 15 days so there respective rates are W/10,W/12 and W/15.
as A for 2 days so w/10*2 + w/12*3 + w/15*n = w
So find n i.e. 8.25 days so C has to do work for 8.25 days.

Is this solution Helpfull? Yes (4) | No   

Prakash kumar  (11 years ago)

total time taken to finish the work = 5.25 + 3 = 8.25 days

Is this solution Helpfull? Yes (3) | No   

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