Question

P can do 1/3 of work in 8 days and Q can do 80% of its work in double time. P and R together take 1.5 days more than the time taken by P and Q together complete this work. in how many days will R complete this work?

Answer 1

Answer:

25.7 days, not sure though :)

Step-by-step explanation:

eff of P = 100/(8×3) = 25/6 %

eff of Q = 80/16 = 5 %

100/(eff(P+R)) = 1.5 + 100/eff(P+Q)

100/(25/6 + eff(R)) = 1.5 + 100/(25/6 + 5)

100/(25/6 + eff(R)) = 1.5 + 600/55

eff(R) = 3.892 %

Time taken by R to complete work

= 100/3.892 = 25.7 days

Answer 2

Step-by-step explanation:

Let the work done be x

P can do x/3 work in 8 Days

Q can do 80x/100 work in 16 Days

Let the work done by r be R

We know that

x/3+R can do the work in 25.5 Days