Question

4 friends A, B, C and D can do a work P in 12 days if they all work together. Efficiency of A, B and C are in ratio 5:4:3. D completes 20% of the work alone. A and B can complete work P in Q days. C and D can complete the work in R days. All four friend can do another work S in (Q+ R-15) days. Find the total unit of work S.​

Answer 1

Answer:

Given,

4 friends A,B,C,D can do work P in 12 days if they all work together, then only A,B,C do work the ratio will be 5:4:3, D will complete 20% of its work, A and B complete P work, C and D complete Q work, then all friends can do another work S(Q+R-15).

Answer,

:- A and B = 12/2 = 6 and 6/2 = 3 then A=3, B=3, therefore A×B = 3×3=9, therefore A and B complete the work P in 9 days [equation 1]

:- C and D = 9 days [ from equation 1]

proof,

Q=9 days,

R=9 days,

therefore,

= Q + R - 15

= 9 + 9 - 15

Here, pluse × minus = minus

= 9 - 9 - 15

= 0 - 15

= 15

Answer 2

Answer:

not in the option question is the total unit of work S