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 3 of 6.
Sourya said:
1 decade ago
They worked 8 hours for 1 day
" " 1 " " 1/8 day
So, 480/11 " " (480/11)*1/8 day= 60/11 days= 5 5/11
" " 1 " " 1/8 day
So, 480/11 " " (480/11)*1/8 day= 60/11 days= 5 5/11
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.
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.
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)
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).
Mishi said:
1 decade ago
P 12 days, 8 hours = 96. Q = 8 days, 10 hours, = 80.
P works 12 days in 8 days.
Q = 80/8 = 10 days.
= 1/12+1/10 = 60/11.
P works 12 days in 8 days.
Q = 80/8 = 10 days.
= 1/12+1/10 = 60/11.
Nabil said:
1 decade ago
No need to take hours in picture because number of hours are same.
Simple ab/a+b.
Where a=12 & b=10.
Thank you.
Simple ab/a+b.
Where a=12 & b=10.
Thank you.
SARAN KUMR said:
4 weeks ago
@Nav Raj Bhatta.
To make it easy to calculate, we can divide both by 8.
Now P = 96/8 = 12,
and Q=80/8=10,
To make it easy to calculate, we can divide both by 8.
Now P = 96/8 = 12,
and Q=80/8=10,
Nagarjun said:
1 decade ago
@sikha,anshik
for 1 day they work 8hrs
for x days they work 480/11 hrs
so x=(480/11)*(1/8)
thats it....
for 1 day they work 8hrs
for x days they work 480/11 hrs
so x=(480/11)*(1/8)
thats it....
Swapnil phulari said:
5 years ago
P = 1/12 Q = 1/10.
P + Q = 1/12 + 1/10 = 11/60 i.e 1Day work.
And n day work = 60/11 = 5 5/11.
P + Q = 1/12 + 1/10 = 11/60 i.e 1Day work.
And n day work = 60/11 = 5 5/11.
(19)
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