Subject: General Aptitude · Chapter: Time and Work · Exam: · Marks: · Difficulty:
A, B and C can complete a work separately in 24, 36 and 48 days respectively. They started together but C left after 4 days of start and A left 3 days before the completion of the work. In how many days will the work be completed ?
(a)15 days
(b)22 days
(c)25 days
(d)35 days
Answer
Answer (as printed): A
Explanation
(A + B + C)’s 1 day’s work = + + = . 24 36 48 144 13 13 Work done by (A + B + C) in 4 days = × 4 = . 144 36 1 1 Work done by B in 3 days = × 3 = . 36 12 13 1 5 Remaining work = 1 − + = . 36 12 9 1 1 5 (A + B)’s 1 day’s work = + = . 24 36 72 5 Now, work is done by A and B in 1 day. 72 5 72 5 So, work is done by A and B in × = 8 days. 9 5 9 Hence, total time taken = (4 + 3 + 8) days = 15 days. 1 1
Explanation as extracted from the printed page; notation may be imperfect.