Question
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 A
Was this answer helpful ?
P can complete the work in (12 x 8) hrs. = 96 hrs.
Q can complete the work in (8 x 10) hrs. = 80 hrs.
So, P's1 hour's work = \(\frac{1}{96}\) and Q's 1 hour's work = \(\frac{1}{80}\)
(P + Q)'s 1 hour's work = \(\left(\frac{1}{96}+\frac{1}{80}\right)= \frac{11}{480}\)
So, both P and Q will finish the work in \(\left(\frac{480}{11}\right)\) hrs.
Therefore, Number of days of 8 hours each = \(\left(\frac{480}{11}\times\frac{1}{8}\right)= \frac{60}{11}days = 5\frac{5}{11}days.\)
Was this answer helpful ?
Submit Solution