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 6 of 6.

Neha said:   1 decade 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

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

Deepak said:   2 decades ago
How come 11/480?

Suresh said:   2 decades ago
How come 5 5/11 days from 60/11?

Hanmant said:   2 decades ago
How come 11/480?


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