Sun	Mon	Tue	Wed	Thu	Fri	Sat
23	24	25	26	27	28	1
2	3	4	5	6	7	8
9	10	11	12	13	14	15
16	17	18	19	20	21	22
23	24	25	26	27	28	29
30	31	1	2	3	4	5

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Multiple Choice Questions

A B and C together can finish a work in 7 days A and B take 5 days more to complete the same work th...........

Quantitative Aptitude (CGL) Time and work

A, B, and C together can finish a work in 7 days. A and B take 5 days more to complete the same work than that of A and C. B and C together can complete the work in 16 days. In how many days can C alone finish the same work?

30/7

100/3

56/3

152/3

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Explanation:

(A+B+C)7=WORK ————equation 1
(B+C)16 =WORK ————-equation 2
EQUVATE 1 & 2
(A+B+C)7 = (B+C)16
(A) 7 = (B+C) 9
A/(B+C) = (9/7)
Efficiency A=9 , B+C =7 put in equation 1
WORK = (9+7)7
work = 16*7 = 112
condition given (A+B) (X+5) = (A+C) X
(A+B)/(A+C) = X/(X+5) ——— equation 3
apply value of A =9 We know that (B+C) = 7
Let take B=1 C=6
(9+1)/(9+6) = x/(x+5)
10/15 = x/(x+5) condition satisfied so C=6
C = WORK/EFFICIENCY
C = 112/6=56/3