Aptitude - Time and Work - Discussion

@Deeps

For 1hr-11/480th part of work is done.

So, to complete whole work it'll take 480/11hrs.

Eg:
For 1hr-1/4th f work
For xhr-1(whole) work..? x=4hrs.

Just take it to the l.h.s from r.h.s thats it.

Hope you are clear now...:)

Ok now look at the theorem. as per the theorem if A does a work in x days and B does the same work in y days then total no of days taken by A&B to complete the same work is xy/x+y

Now for the question the equation would be (12*8)*(8*10)/ 12*8+10*8= 480/11

The answer obtained is in hrs, to convert this in no of days divide it by 8 as A/B does the work 8hrs in a day, now the answer becomes 60/11 which is the required answer..

Hope this will clear all the doubts.. :)

We can simply do the following!

Convert both the person's work into days bringing the same hours/day so the Man Days remain unchanged!!

Where P works 8 hour/Day working 12 Days= Man Days 96

Where Q works 8 hours / Day working 10 days= Man days 80


Now 1/10 + 1/12

So 11/60 per day work by both

so 60/11 = 5 5/11

Good jitendra.

Given p can complete the work in 12 days working 8hrs a day.

i.e p - 12 days - 8 hrs.

lly, q - 8 days - 10 hrs (or) 10 days - 8 hrs.

Thus, p+q - x days - 8 hrs.

Hence p + q = 1/12 + 1/10.

= 22/120.

= 11/60.

Therefore p+q can complete the work in 60/11 days.

P can complete work in 12 days. So for one day he completes 1/12 work. But for one day he works only for 8 hours.

Similarly Q can complete work in 8 days. So for one day he completes 1/8 work. Q works 10 hours a day.

in question they have asked in how many days P and Q can complete the work if they work for 8 hours a day.

So for P already the given work is 8 hours a day and for Q it is 10 hours a day.

So just convert Q's work into 8 hours a day. The conversion is as follows

Q for one day he works for 10 hours and can complete the work in 8 days.
Q= 1/8 for 10 hrs.

Then for one hour it is (1/8)/10.
Q=1/80 for 1 hour.

So for 8 hours it is (1/80)*8= 1/10.
Now P+Q= 1/12+1/10.

Total work is 11/60.

So they can complete the given work in 60/11 days or 5 5/11 days.

@Vijay Anand.

Here total work is 11/60, but how 60/11 days can anyone please clarify me?