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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. |
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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 |
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