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 4 of 6.
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.
Rani Maria said:
1 decade ago
Take the LCM of 96,80 then we get 480.
then 1/96 * 480 + 1/80 *480 = 5/480 + 6/480 = 11/480.
then 1/96 * 480 + 1/80 *480 = 5/480 + 6/480 = 11/480.
Deeps said:
1 decade ago
Why should we take the reverse of 480/11 and multiply?
Why shouldnt we directly multiply?
Why shouldnt we directly multiply?
Sumasree said:
1 decade ago
@Vijay Anand.
Here total work is 11/60, but how 60/11 days can anyone please clarify me?
Here total work is 11/60, but how 60/11 days can anyone please clarify me?
Shekha said:
1 decade ago
Sagarika your explanation is very simple. And Rani maria thanks for thinking me simple.
Chintan said:
1 decade ago
Neha. . They work to gather 8 hours in 1 day that is shown in que. So ans mult. By 1/8
Singham said:
8 years ago
If the equation is multiple with 1/8, then how could be possible that the is 5*5/11?
Akila said:
1 decade ago
11/480 is the part of work completed in 1 hour.
If we reverse it we can get time.
If we reverse it we can get time.
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
Avinash said:
1 decade ago
Why we are taking (12*8) instead of (1/12*8)? As though taken in previous sums.
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