Question

P and q together can complete a work in 12 days. P alone can complete in 20 days. If q does the work only half a day daily, then in how many days p and q together will complete the work?

Answer 1

P ans Q Work together is :

P + Q complete a piece of work in 12 days

P complete a piece of work in 20 days

 First we take LCM of these numbers 12 , 20

so,                           LCM is 60                              ( total work is 60 )

P + Q complete whole work in 12 days and total work is 60

then P + Q complete work in  1 day = 60/12 = 5     (efficiency of P + Q )

P complete whole work in 20 days and total work is 60

then P complete work in  1 day = 60/20 = 3     (efficiency of P )

now ,

Efficiency of P is 3

and Efficiency of P + Q is 5               ( P = 3)

so,          Q = 2    ( in 1 day )

but according to question, it says that q does the work only half a day daily

so            Q = 2/2 = 1

now ,        P + Q = 3 + 1 = 4      

so ,                       total work  = 60

                            P + Q  =  60/4    = 15 day

Know more

Q.1.- If man A complete a piece of work in 12 days and   the same work is completed by B and C in 15 days  and 20 days respectively. In how many days the  work is completed if they work together?

Click here-  brainly.in/question/14963073

Q.2.-  A and b can complete a work in 12 days together, b and c can complete the same work in 15 days together and a and c can complete that work in 20 days together. in how many days a can complete the same work alone?

Click here-  brainly.in/question/1744674

Q.3.-  A and b can do a piece of work in 6days b and c in 8days a and c in 12days if they work together and a leaves after 4days how many days remaining b and c complete

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