P can finish a project in 12 days if he works 8 hours each day. Q can finish the same job in 8 days if he works 10 hours every day. How many days would it take P and Q to do the task if they work together for 8 hours a day?
A. 5 5/11
B. 5 6/11
C. 6 5/11
D. 6 6/11
Answer:A
P can finish a project in 12 days if he works 8 hours each day. Q can finish the same job in 8 days if he works 10 hours every day. How many days would it take P and Q to do the task if they work together for 8 hours a day?
A. 5 5/11 B. 5 6/11 C. 6 5/11 D. 6 6/11
Explanation: P may do the job in 12 x 8 hours, or 96 hours.Q can do the job in eight hours and ten minutes, for a total of eight hours and ten minutes.P's 1 hour of labour equals 1/96 and Q's 1 hour of work equals 1/80.1 hour of labour for (P + Q) = 1/96 + 1/80 = 11/480.As a result, both P and Q will complete the task in 480/11 hours.Number of 8-hour days = 480/11 x 1/8 = 60/11 days = 5 5/11 days.