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?
5 5
11
5 6
11
6 5
11
6 6
11
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.

Ash said:   8 years ago
Why 12*8 is taken? 12 days n 8 hrs =96hrs how it comes?

Please explain it.

Tuhinaa said:   9 years ago
The explanation is a bit lengthy. Is there any shortcut to solve it.

ARCHANA said:   1 decade ago
I could not understand this question can anyone explain it please.

Akshal said:   4 years ago
Hi @Joel.

How did you assume 10 days and 8 hours? Please explain.
(3)

Supriya said:   1 decade ago
How can we solve this 480/11 * 1/8..and how came the ans 60/11 ?

Saniya said:   9 years ago
Why did 1/8 is taken in ratio but not the above hours?
(1)

Henry said:   10 years ago
What amount of work are they to complete?

Shridhar said:   1 decade ago
Sagarika your explaination is very nice.

Srikanth said:   1 decade ago
Why should we take 11/480 as 480/11 ?

Anshik said:   1 decade ago
Why multiplied by 1/8 and not 8 ?


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