Aptitude - Time and Work - Discussion
Discussion Forum : Time and Work - General Questions (Q.No. 14)
14.
P can complete a work in 12 days working 8 hours a day. Q can complete the same work in 8 days working 10 hours a day. If both P and Q work together, working 8 hours a day, in how many days can they complete the work?
Answer: Option
Explanation:
P can complete the work in (12 x 8) hrs. = 96 hrs.
Q can complete the work in (8 x 10) hrs. = 80 hrs.
 P's1 hour's work = |
1 | and Q's 1 hour's work = | 1 | . |
| 96 | 80 |
| (P + Q)'s 1 hour's work = |  |
1 | + | 1 |  |
= | 11 | . |
| 96 | 80 | 480 |
| So, both P and Q will finish the work in | |
480 | |
hrs. |
| 11 |
| Number of days of 8 hours each = |
|
480 | x | 1 | |
= | 60 | days = 5 | 5 | days. |
| 11 | 8 | 11 | 11 |
Discussion:
57 comments Page 5 of 6.
Bhagyasri said:
8 years ago
1-hour work of p and q is(1/12*8+1/8*10) = 11/480.
8-hours of work is (11/480)*8 = 11/60.
For example, 1 day work is 1/x days then the total number of days is x.
Similarly, 8 hours of work is 11/60 then the total number of days is 60/11.
8-hours of work is (11/480)*8 = 11/60.
For example, 1 day work is 1/x days then the total number of days is x.
Similarly, 8 hours of work is 11/60 then the total number of days is 60/11.
Hariom pundir said:
8 years ago
25 men take 20 days to finish some work, after every 10 days 5 men leave the work, then in how many days will the work be finished? Explain the answer.
Ash said:
8 years ago
Why 12*8 is taken? 12 days n 8 hrs =96hrs how it comes?
Please explain it.
Please explain it.
Amritha said:
8 years ago
@Ash
For 1 day P works for 8hours, then for 12 days (Since P completes the work in 12days.), the total no of hours is 96 hours(12 * 8).
For 1 day P works for 8hours, then for 12 days (Since P completes the work in 12days.), the total no of hours is 96 hours(12 * 8).
Mr. Mp said:
8 years ago
480/11 is the total hours taken to complete.
Now in days we want, and in a day only 8 hours is worked as said in question
so, (480/11) / 8 nothing but (480/11)*1/8.
Still confused look at this I complete the work in 40 hours, the company says I can work only 10 hours per day, so how many days it took. nothing but 40/10 or 40 * (1/10) = 4 days.
Now in days we want, and in a day only 8 hours is worked as said in question
so, (480/11) / 8 nothing but (480/11)*1/8.
Still confused look at this I complete the work in 40 hours, the company says I can work only 10 hours per day, so how many days it took. nothing but 40/10 or 40 * (1/10) = 4 days.
(1)
Singham said:
8 years ago
If the equation is multiple with 1/8, then how could be possible that the is 5*5/11?
Supriya said:
8 years ago
We should take as 1/12 that means 1/n for every question noo. But in this question why we have taken as 12*8, why can't 1/12*8?
Anyone explain me.
Anyone explain me.
Jakrik said:
6 years ago
p to complete eating chocolate(12*8)=96hrs (work=chocolate).
q to complete eating chocolate(10*8)=80 hrs.
LCM of 96&80=480.
p->5 chocolates/hr(480/96).
Q->6 chocolates/hr(480/80).
In 1 hour = 5+6 = 11 chocolates.
8 hour =11 * 8 = 88(in one day)
Total chocolates = 480.
Days taken to complete = 480/88 = 60/11 = 5 5/11.
q to complete eating chocolate(10*8)=80 hrs.
LCM of 96&80=480.
p->5 chocolates/hr(480/96).
Q->6 chocolates/hr(480/80).
In 1 hour = 5+6 = 11 chocolates.
8 hour =11 * 8 = 88(in one day)
Total chocolates = 480.
Days taken to complete = 480/88 = 60/11 = 5 5/11.
(23)
Ashwini said:
6 years ago
1/12+1/10 = 11/60.
Total work done in 60/11 days.
60/11 = 5 5/11.
No need to consider hours directly can solve by considering no.of days worked.
Total work done in 60/11 days.
60/11 = 5 5/11.
No need to consider hours directly can solve by considering no.of days worked.
(4)
Jaydeep Lalakiya said:
5 years ago
P = 12 days = 8 hours, hence P = 1/12 --> (i)
Q = 8 days = 10 hours.
So Q works 10 hours for 8 days so how many days he will take if he works for 8 hours only?
=8*10/8 = 10 days hence Q = 1/10--> (ii)
So now if both work together 1/12+1/10 = 11/60, (5 * 5/11 would be the answer).
Q = 8 days = 10 hours.
So Q works 10 hours for 8 days so how many days he will take if he works for 8 hours only?
=8*10/8 = 10 days hence Q = 1/10--> (ii)
So now if both work together 1/12+1/10 = 11/60, (5 * 5/11 would be the answer).
(5)
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