Question
A can do a certain work-in the same time in which B and C together can do it. If A and B together could do it in 10 days and C alone in 50 days, then B alone could do it in_________?
Answer: Option C
(A + B)’S 1 DAY’S WORK = 1/10; C’S 1 DAY’S WORK = 1/50 (A + B + C)’S 1 DAY’S WORK = 1/10 + 1/50 = 6/50 = 3/25 ALSO, A’S 1 DAY’S WORK = (B + C)’S 1 DAY’S WORK
FROM (I) AND (II), WE GET : 2 X (A’S 1 DAY’S WORK) = 3/25 AS 1 DAY’S WORK = 3/50 B’S 1 DAY’S WORK = 1/10 – 3/50 = 2/50 = 1/25 SO, B ALONE COULD DO THE WORK IN 25 DAYS.
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(A + B)’S 1 DAY’S WORK = 1/10; C’S 1 DAY’S WORK = 1/50 (A + B + C)’S 1 DAY’S WORK = 1/10 + 1/50 = 6/50 = 3/25 ALSO, A’S 1 DAY’S WORK = (B + C)’S 1 DAY’S WORK
FROM (I) AND (II), WE GET : 2 X (A’S 1 DAY’S WORK) = 3/25 AS 1 DAY’S WORK = 3/50 B’S 1 DAY’S WORK = 1/10 – 3/50 = 2/50 = 1/25 SO, B ALONE COULD DO THE WORK IN 25 DAYS.
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