Question

p does the job in 11 days while q take 12 days and R takes 22 days for the same job. P and Q started working together. but after tow days they left and R had to complete the job . find the number of days required to complete the job?

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Answer 1

Answer:49/3

Step-by-step explanation: Let's take total work to be done = 132 units

So P will do the work in 11 day with the rate of 12 , Q will do the work in 12 days with the rate of 11, and R will do the work in 22 days with the rate of 6 units

Now, as p and q work together for 2 days there rate of work = 11+12=23 rare for 1 day

So for 2 day = 23×2=46

Now the work left= 132-46=86

86 unit work is to be completed by R alone so he will take = 86 ÷ 6 hours to complete that is 43/3 , now total time taken by 3 of them = 43/3+2= 49/3