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:
58 comments Page 4 of 6.
Neha said:
2 decades ago
Why multiplied by (1/8)?
Nagu said:
2 decades ago
Hi all
we can write 60/11 = (5*11+5)/11
= (55+11)/11
it is same as 5 5/11 here first first 5 is quocient and senocd 5 is remainder and 11 is deviser
we can write 60/11 = (5*11+5)/11
= (55+11)/11
it is same as 5 5/11 here first first 5 is quocient and senocd 5 is remainder and 11 is deviser
Asha said:
2 decades ago
When we divide 60 by 11 the quotient is 5 and the remainder is 5 11 is the divisor? so 5 5/11.
Manisha said:
2 decades ago
11/480 is the addition of 1/96+1/80
(1*5)/(96*5)+(1*6)/(80*6)=5/480+6/480=11/480
(1*5)/(96*5)+(1*6)/(80*6)=5/480+6/480=11/480
Deepak said:
2 decades ago
How come 11/480?
Suresh said:
2 decades ago
How come 5 5/11 days from 60/11?
Dileep said:
1 decade ago
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.
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.
Shekha said:
2 decades ago
Sagarika your explanation is very simple. And Rani maria thanks for thinking me simple.
Sikha said:
2 decades ago
Why multipled by 1/8 not 8?
Anshik said:
2 decades ago
Why multiplied by 1/8 and not 8 ?
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